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15 Νοε 2013 (πριν από 3 χρόνια και 4 μήνες)

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1

Зарубежная периодика по тематике ИПИ РАН

Выпуск № 5, октябрь 2006 г
.

Материалы подготовлены лаб. 13



Журнал «Управление и оптимизация» Общества промышленной и прикладной
математики; 2005 год, том 44, вып. 1.

SIAM Journal on Control & Optimization; 2005,
Vol. 44 Issue 1,

ISSN:

0363
-
0129

Publisher Information:

Society for Industrial & Applied Mathematics

3600 University City, Science Center, Philadelphia Pennsylvania 19104
-
2688, United States of America

http://www.siam.org

СТАТЬИ


1. Распределенное управле
ние в пространственно обратимых взаимосвязанных системах с
граничными условиями.


Distributed Control of Spatially Reversible Interconnected Systems with Boundary Conditions. By: Langbort,
Cédric; , D'Andrea, Raffaello, p1, 28p

Ключевые слова:
:BESSEL func
tions, BOUNDARY value problems, DIFFERENTIAL equations,
MATHEMATICAL physics, MATHEMATICS

Author
-
Supplied Keywords:

spatially distributed control, symmetric system, boundary conditions

Abstract:

We present a class of spatially interconnected systems with b
oundary conditions that have close
links with their spatially invariant extensions. In particular, well
-
posedness, stability, and performance of the
extension imply the same characteristics for the actual, finite extent system. In turn, existing synthesis
methods
for control of spatially invariant systems can be extended to this class. The relation between the two kinds of
systems is proved using ideas based on the "method of images" of partial differential equations theory and uses
symmetry properties of t
he interconnection as a key tool. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Center for the Mathematics of Information, California Institute of Technology, 1200 E.
California , Blvd., MS 136
-
93, Pasadena, CA 9112, 2Mechanical and Aerospace Engineering, C
ornell
University, 101 Rhodes Hall, Ithaca, NY 1485, 2.

Optimal Control of Ergodic Continuous
-
Time Markov


2. Оптимальное управление в эргодических Марковских цепях с непрерывным временем и
средней выборочной полезностью
.

Optimal Control of Ergodic Continu
ous
-
Time Markov Chains with Average Sample
-
Path Rewards.. By:
Xianping Guo; Xi
-
Ren Cao, 3.

Lp
-
Optimal Boundary Control for the Wave Equation. By: Gugat, M.;
Leugering, G.; Sklyar, G., p49, 26p

Ключевые слова:
:ALGORITHMS, DECISION making, DIFFUSION processe
s, MARKOV processes,
STOCHASTIC processes

Author
-
Supplied Keywords
:

average sample
-
path reward, continuous
-
time Markov chain, optimal
stationary policy, policy and value iteration algorithms

Abstract:

In this paper we study continuous
-
time Markov decision
processes with the average sample
-
path
reward (ASPR) criterion and possibly unbounded transition and reward rates. We propose conditions on the
system's primitive data for the existence of $
\
epsilon$
-
ASPR
-
optimal (deterministic) stationary policies in a
cl
ass of randomized Markov policies satisfying some additional continuity assumptions. The proof of this fact
is based on the time discretization technique, the martingale stability theory, and the concept of potential. We
also provide both policy and value
iteration algorithms for computing, or at least approximating, the $
\
epsilon$
-
ASPR
-
optimal stationary policies. We illustrate with examples our main results as well as the difference
between the ASPR and the average expected reward criteria. [ABSTRACT FROM

AUTHOR]


2

Author Affiliations:

1The School of Mathematics and Computational Science, Zhongshan University,
Guangzhou 510275, People's Republic of Chin
а
, 2Department of Electrical and Electronic Engineering, The
Hong Kong University of Science and Technology
, Hong Kong

3.
Lp
-
оптимальное управление на границе в волновом уравнении.

Lp
-
Optimal Boundary Control for the Wave Equation.

Ключевые слова:
:BOUNDARY value problems, DIFFERENTIAL equations, DIRICHLET principle, VON
Neumann algebras, WAVE equation

Author
-
S
upplied Keywords
:

optimal control, boundary control, wave equation, analytic solution,
distributed parameter systems, robust optimization, controllability, state constraint, sensitivity test examples

Abstract:

We study problems of boundary controllability
with minimal Lp
--
norm ($p
\
in [2,
\
infty]$) for the

one
-
dimensional wave equation, where the state is controlled at both boundaries through Dirichlet or Neumann
conditions. The problem is to reach a given terminal state and velocity in a given finite time,
while minimizing
the Lp
--
norm of the controls. We give necessary and sufficient conditions for the solvability of this problem.
We show as follows how this infinite
-
dimensional optimization problem can be transformed into a problem
which is much simpler: T
he feasible set of the transformed problem is described by a finite number of simple
pointwise equality constraints for the control function in the Dirichlet case while, in the Neumann case, an
additional integral equality constraint appears. We provide ex
plicit complete solutions of the problems for all
$p
\
in[2,
\
infty]$ in the Dirichlet case solutions for some typical examples in the Neumann case. [ABSTRACT
FROM AUTHOR]

Author Affiliations:

1Lehrstuhl für angewandte Mathematik, Martensstr. 3, 91058 Erlang
en, Germany
2University Szczecin, Institute of Mathematics, Wielkopolska 15, 70451 Szczecin, Poland

4.


Достижение почти абсолютной устойчивости управления вырожденными диффузиями.

Almost Sure Stabilizability of Controlled Degenerate Diffusions. By: Bardi, Martino; Cesaroni, Annalisa, p75,
24p;


Ключевые слова:
:DIFFERENTIAL equations, DIFFERENTIAL equation
s, Partial, JACOBI method,
LYAPUNOV functions

Author
-
Supplied Keywords
:

degenerate diffusion, almost sure stability, asymptotic stability, asymptotic
controllability, stabilizability, stochastic control, viability, viscosity solutions, Hamilton
--
Jacobi
--
Be
llman
inequalities,nonsmooth analysis

Abstract:

We develop a direct Lyapunov method for the almost sure open
-
loop stabilizability and
asymptotic stabilizability of controlled degenerate diffusion processes. The infinitesimal decrease condition for
a Lyapun
ov function is a new form of Hamilton
--
Jacobi
--
Bellman partial differential inequality of second
order. We give local and global versions of the first and second Lyapunov theorems, assuming the existence of
a lower semicontinuous Lyapunov function satisfyi
ng such an inequality in the viscosity sense. An explicit
formula for a stabilizing feedback is provided for affine systems with smooth Lyapunov function. Several
examples illustrate the theory. [ABSTRACT FROM AUTHOR]

Author Affiliations:

1Dipartimento di
Matematica P. e A., Universitàa di Padova, via Belzoni 7, 35131
Padova, Italy

5.

Аппроксимация интегралов высшего порядка при вычислении вариаций и феномен
Лаврентьева.

The Approximation of Higher
-
Order Integrals of the Calculus of Variations and the Lavre
ntiev Phenomenon. ,
Ferriero, Alessandro.

Ключевые слова:
APPROXIMATION theory, CALCULUS of variations, CRITICAL point theory
(Mathematical analysis), FUNCTIONAL analysis, FUNCTIONS, Entire

Author
-
Supplied Keywords
:calculus of variations, Lavrentiev pheno
menon, reparameterization

Abstract:

We prove the following approximation theorem: given a function $x : [a,b]
\
to
\
mathbb{R}^N$
in the Sobolev space ${
\
bf W}^{
\
nu+1, 1}$, $
\
nu
\
geq 1$, and $
\
epsilon > 0$, there exists a function $x
[ABSTRACT FROM AUTHOR]


3

A
uthor Affiliations
:

1Dipartimento di Matematica e Applicazioni, Universit#x00E0; degli Studi di Milano
-
Bicocca,Via R. Cozzi 53, 20126 Milano, Italy

6.

Оптимизированный по времени синтез левоинвариантных систем управления по сериям
SO

(3).

Time
-
Optimal Synthesis for Left
-
Invariant Control Systems on series SO (3). By: Boscain, Ugo; Chitour,
Yacine.p111, 29p;



Ключевые слова:
DIFFERENTIAL equations, Pa
rtial
--

Numerical solutions, MAXIMUM entropy method,
MAXIMUM principles (Mathematics), VECTOR analysis, VECTOR fields

Author
-
Supplied Keywords
:

optimal control,optimal synthesis, minimum time, SO(3)

Abstract:
Consider the control system $(
\
Sigma)$ given by

$
\
dot x=x(f+ug)$, where $x
\
in SO(3)$, $|u|
\
leq 1$,
and $f,g
\
in so(3)$ define two perpendicular left
-
invariant vector fields normalized so that $
\
|f
\
|=
\
cos(
\
al)$ and

$
\
|g
\
|=
\
sin(
\
al)$, $
\
al
\
in ]0,
\
pi/4[$. In this paper, we provide an upper bound and a low
er bound for $N(
\
alpha)$,
the maximum number of switchings for time
-
optimal trajectories of $(
\
Sigma)$. More precisely, we show that
$N [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1SISSA
-
ISAS, Via Beirut 2
-
4, 34014 Trieste, Italy

2Université Paris XI, Labo
ratoiré des signaux et systèmes (L2S) Supélec, 3 rue Joliot
-
Cure, 91190 Gif
-
sur
-
Yvette, France

7.

Контролируемость точного значения глобальной границы в классе квазилинейных
гиперболических систем по Законодательству об охране природы
II
.

Global Exact Boundary Controllability of a Class of Quasilinear Hyperbolic Systems of Conservation Laws II.
By: De
-
Xing Kong; Hui Yao.p140, 19p;

Ключевые слова:
BOUNDARY value problems, DIFFERENTIAL equations, DIFFERENTIAL equations,
Nonlinear
--

Numerical solutions, EXPONENTIAL functions, QUASILINEARIZATION

Author
-
Supplied Keywords
:

quasilinear hyperbolic system, cons
ervation laws, global exact boundary,
controllability, Cauchy problem, Goursat problem, classical discontinuous solution, contact discontinuity,
optimal control time

Abstract:

In this paper, by a new constructive method, the authors reprove the global exac
t boundary
controllability of a class of quasilinear hyperbolic systems of conservation laws with linearly degenerate
characteristics. It is shown that the system with nonlinear boundary conditions is globally exactly boundary
controllable in the class of
piecewise C1 functions. In particular, the authors give the optimal control time of the
system. Finally, a new example belonging to this kind of system is also provided. [ABSTRACT FROM
AUTHOR]

Author Affiliations
:

1Department of Mathematics, Shanghai Jiao
Tong University, Shanghai 200030, China

2Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong.

8.

Об обратном стохастическом уравнении Риккати в бесконечномерном измерении.

On the Backward Stochastic Riccati Equation in Infinite Dimensions. By: Guatteri, Giuseppina; Tessitore,
Gianmario.p159, 36p;

Ключевые слова:
DIFFERENTIAL equations, DIFFERENTIAL

equations, Partial, HILBERT space,
RICCATI equation, WAVE equation

Author
-
Supplied Keywords
:

backward stochastic differential equation, Riccati equation, linear
quadratic optimal control, Hilbert spaces, stochastic coefficients

Abstract:

We study backward

stochastic Riccati equations (BSREs) arising in quadratic optimal control
problems with infinite dimensional stochastic differential state equations. We allow the coefficients, both in the
state equation and in the cost, to be random. In such a context BS
REs are backward stochastic differential
equations existing in a non
-
Hilbert space and involving quadratic nonlinearities. We propose two different
notions of solutions to BSREs and prove, for both of them, existence and uniqueness results. We also show th
at
such solutions allow us to perform the synthesis of the optimal control. Finally we apply our results to the

4

optimal control of a delay equation and of a wave equation with random damping. [ABSTRACT FROM
AUTHOR]

Author Affiliations
:

1Dipartimento di Mat
ematica, Politecnico di Milano, piazza Leonardo da Vinci 32,
20133 Milano, Itali2Dipartimento di Matematica, Universitá di Parma, via D'Azeglio 85, 43100 Parma, Italia

9.

Релаксация проблемы оптимального проектирования с помощью целочисленных
ограничений.

Relaxation of an Optimal Design Problem With an Integral
-
Type Constraint. By: Aranda, Ernesto; Bellido, José
C., p195, 15p;

Ключевые слова:
EXPERIMENTAL design, HEAT equation, MATHEMATICS, OPTIMAL designs
(Statistics), VECTOR fields

Author
-
Supplied Keywor
ds
:optimal design, relaxation, constrained quasiconvexification

Abstract:

We study a new relaxation for a two
-
dimensional optimal design problem in conductivity
consisting of determining how to mix two given conducting materials in order to minimize the a
mount of one
of them, subject to a constraint on the efficiency of the conducting properties of the mixture. Our approach
here is different from that obtained in [R. V. Kohn and G. Strang, Comm. Pure Appl. Math., 39 (1986), pp. 113
-
-
137, 139
--
182, 353
--
37
7], and is based on a local reformulation of the optimal design problem by means of the
introduction of new potentials. The concept of constrained quasiconvexification is used in an important way.
[ABSTRACT FROM AUTHOR]

Author Affiliations
:

1E.T.S.I. Indus
triales, Universidad de Castilla
-
La Mancha, Campus Universitario s/n,
13071
-
Ciudad Real, Spain

2Mathematical Institute, University of Oxford, OX1 3LB, Oxford, UK

10.

Обратная теорема Ляпунова для вариации линейных параметров и линейных систем
коммутации.

A Converse Lyapunov Theorem for Linear Parameter
-
Varying and Linear Switching Systems. By: Wirth,
Fabian., p210, 30p;

Ключевые слова:
DIFFERENTIAL equations, Linear,

EXPONENTIAL functions, LINEAR systems,
LYAPUNOV functions, SYSTEM theory

Author
-
Supplied Keywords
:

converse Lyapunov theorem, linear parameter
-
varying systems, linear
switching systems, linear flows on vector bundles, Gelfand formula, periodic systems

Abs
tract:

We study families of linear time
-
varying systems, where time variations have to satisfy
restrictions on the dwell time, that is, on the minimum distance between discontinuities, as well as on the
derivative in between discontinuities. Such classes o
f systems may be formulated as linear flows on vector
bundles. The main objective of this paper is to construct parameter
-
dependent Lyapunov functions, which
characterize the exponential growth rate. This is possible in the generic irreducible case. As an
application the
Gelfand formula is generalized to the class of systems studied here. In other words, the maximal exponential
growth rate may be approximated by only considering the periodic systems in the family of time
-
varying
systems. A perspective on th
e question of continuous dependence of the exponential growth rate on the data is
given. [ABSTRACT FROM AUTHOR]

Author Affiliations:

1Hamilton Institute, NUI Maynooth, Maynooth, Co. Kildare, Ireland

11. Вычисление факторизации без потерь (
J
,
J
')

для матри
ц общего вида с рациональными
элементами.

Computation of the (J, J')
-
Lossless Factorization for General Rational Matrices. By: Delin Chu; Ho, Daniel W.
C., p240, 28p;

Ключевые

слова
:
ALGORITHMS, EIGENVALUES, FACTORIZATION (Mathematics),
FACTORIZATION of op
erators, MATHEMATICS

Author
-
Supplied Keywords
:J, J'
-
lossless factorization, rational matrix, eigenfactorization orthogonal
transformation, J'
-
lossless factorization, J


5

Abstract:

J, J'
-
lossless factorization plays a central role in $H [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mathematics, National University of Singapore, 2 Science Drive 2,
Singapore 117543, 2Department of Mathematics, City University of Hong Kong, Hong Kong

12.

Анализ проблем оптимального управления для двумерных термисторных систем
.

Analysis of Optimal Control Problems for the Two
-
Dimensional Thermistor System. By: Hyung
-
Chun Lee;
Shilkin, Timofey. , p268, 15p;

Ключевые слова:
BOUNDARY value problems, DIFFERENTI
AL equations, FUNCTION spaces,
MATHEMATICS, THERMISTORS

Author
-
Supplied Keywords
:

optimal control, thermistor system, Gâteaux derivatives, Gâteaux
derivatives

Abstract:

An optimal control problem for the thermistor system is considered. First, the precise
mathematical problem is established and the proof of existence of the optimal solution is given with appropriate
function spaces. Then, Gâteaux differentiability is shown for the thermistor system, with respect to control, and
the optimality system is obta
ined. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mathematics, Ajou University, Suwon 442
-
749, South Korea

2V. A. Steklov Institute of Mathematics, St. Petersburg Department, Fontanka 27, 191011 St. Petersburg,
Russia

13.

Устойчивость стохас
тической аппроксимации при контролируемых условиях.

Stability of Stochastic Approximation under Verifiable Conditions. By: Andrieu, Christophe; Moulines, Eric;
Priouret, Pierre. p283, 30p;

Ключевые слова:
APPROXIMATION theory, BOUNDARY value problems, DIFFE
RENTIAL equations,
STOCHASTIC approximation, STOCHASTIC processes

Author
-
Supplied Keywords
:

stochastic approximation, state
-
dependent noise, randomly varying
truncation, adaptive Markov chain Monte Carlo

Abstract:

In this paper we address the problem of th
e stability and convergence of the stochastic
approximation procedure
\
[
\
theta [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1University of Bristol, School of Mathematics, University Walk, BS8 1TW, UK

2école Nationale Supérieure des Télécommunications, URA
CNRS 820, 46, rue Barrault, F 75634 Paris 13,
France, 3Université Pierre & Marie Curie, Laboratoire de Probabilités et Modélisation Aléatoire, URA CNRS
224, F 75252 Paris 05, France

14.

Исследование спектра оператора передачи импульсных систем применитель
но к
проблемам робастной экспоненциальной устойчивости.

A Study on the Spectrum of the Sampled
-
Data Transfer Operator with Application to Robust Exponential
Stability Problems. By: Hagiwara, Tomomichi.p313, 15p;

Ключевые слова:
DIGITAL control system, EIGE
NVALUES, EXPONENTIAL functions, OPERATOR
theory, TRANSFER operators

Author
-
Supplied Keywords
:

sampled
-
data system, spectral analysis, robust stability

L2
-
stability, exponential stability

Abstract:

This paper begins by studying some spectral properties of t
he transfer operators of sampled
-
data
systems described by applying the lifting technique. Through a "nonasymptotic" characterization of the transfer
operator, its spectrum is determined in terms of finite
-
dimensional eigenvalue problems. Then, it is shown

that
a close connection with such eigenvalue problems and the exponential stability condition can be exploited to
study the robust internal (exponential) stability problem of sampled
-
data systems. Since the transfer operator is
relevant to input
-
output ch
aracteristics, the relationship between input
-
output stability and internal stability is
also discussed in the context of sampled
-
data systems. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Electrical Engineering, Kyoto University, Kyotodaigak
u
-
Katsura,
Nishikyo
-
ku, Kyoto 615
-
8510, Japan


6

15.

Стохастическая аппроксимация и дифференциальное включение.

Stochastic Approximations and Differential Inclusions. By: Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain.
p328, 21p;

Ключевые слова:
APPROXIMATIO
N theory, BESSEL functions, DIFFERENTIAL equations,
STOCHASTIC approximation, STOCHASTIC processes

Author
-
Supplied Keywords
:

stochastic approximation, differential inclusions, set
-
valued dynamical,
systems, chain recurrence, approachability, fictitious pla
y

Abstract:

The dynamical systems approach to stochastic approximation is generalized to the case where
the mean differential equation is replaced by a differential inclusion. The limit set theorem of Benaïm and
Hirsch is extended to this situation. Intern
ally chain transitive sets and attractors are studied in detail for set
-
valued dynamical systems. Applications to game theory are given, in particular to Blackwell's approachability
theorem and the convergence of fictitious play. [ABSTRACT FROM AUTHOR]

Aut
hor Affiliations
:

1Institut de Mathematiques, Université de Neuchâtel, Rue Emile
-
Argand 11, Neuchâtel,
Switzerland, 2Department of Mathematics, University College London, London WC1E 6BT, UK, and Institut
fur Mathematik, Universität Wien, , Nordbergstrasse

15, 1090 Wien, Austria

3Laboratoire d'Econométrie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, and Equipe
Combinatoire et Optimisation, UFR 929, Université P. et M. Curie
-

Paris 6, 175 Rue du Chevaleret, 75013
Paris, France

16.

Феномен изб
ыточности при оптимальном размещении соленоидов.

A Spillover Phenomenon in the Optimal Location of Actuators. By: Hébrard, Pascal; Henrot, Antoine. p349,
18p;

Ключевые

слова
:
ACTUATORS, DIFFERENTIAL equations, Partial, ENGINEERING, PROCESS control,
WAVE equ
ation

Author
-
Supplied Keywords
:damped wave equation, optimal location, spillover, stabilization

Abstract:

In this paper, we are interested in finding the optimal location and shape of the actuators in a
stabilization problem. Namely, we consider the one
-
di
mensional wave equation damped by an internal
feedback supported on a subdomain $
\
omega$ of given length. The criterion we want to optimize represents the
rate of decay of the total energy of the system. It theoretically involves all the eigenmodes of the
operator. From
an engineering point of view, it seems more realistic to consider only a finite number of modes, say the N first
ones. In that context, we are able to prove existence and uniqueness of an optimal domain $
\
omega
[ABSTRACT FROM AUTHOR]

Author
Affiliations
:

1Dassault Systems and Institut Élie Cartan Nancy UMR 7502 UHP
-
CNRS
-
INRIA 54506
Vandoeuvre
-
les
-
Nancy, France, 2Ecole des Mines de Nancy
-
INPL, Institut Élie Cartan Nancy UMR 7502
UHP
-
CNRS
-
INRIA 54506 Vandoeuvre
-
les
-
Nancy, France

17.

Вырожденные проблемы стохастического управления при экспоненциальной стоимости и
слабой двухсторонней динамике.

Определение значений вязкости и принцип максимума.

Degenerate

Stochastic Control Problems with Exponential Costs and Weakly Coupled Dynamics:
Viscosity
Solutions and a Maximum Principle. By: Huang, Minyi; Caines, Peter E.; Malhamé, Roland P. p367, 21p;

Ключевые слова:
CALCULUS of variations, HAMILTON
-
Jacobi equations, MATHEMATICA,
optimization, VISCOSITY solutions, WIRELESS communication system
s

Author
-
Supplied Keywords
:

degenerate stochastic control, power control, HJB equations, dynamic
programming, viscosity solutions

Abstract:

This paper considers a class of optimization problems arising in wireless communication
systems. We analyze the opti
mal control and the associated Hamilton
--
Jacobi
--
Bellman (HJB) equations. It
turns out that the value function is a unique viscosity solution of the HJB equation in a certain function class.
To deal with the fast growth condition of the value function in e
stablishing uniqueness, we construct particular
semiconvex/semiconcave approximations for the viscosity sub/supersolutions, and obtain a maximum principle
on unbounded domains. The localized envelope function technique introduced in this paper permits an a
nalysis

7

of the uniqueness of viscosity solutions defined on unbounded domains in cases with very general growth
conditions when combined with appropriate system dynamics. The optimization problem with state constraints
is also considered. [ABSTRACT FROM AU
THOR]

Author Affiliations
:

1Department of Electrical and Electronic Engineering, University of Melbourne, Victoria
3010, Australia

2Department of Electrical and Computer Engineering, McGill University, 3480 University Street, Montreal,
QC H3A 2A7, Canada,
3Department of Electrical Engineering, École Polytechnique de Montréal, 2900 Boul.
Édouard Montpetit, Montreal, QC H3C 3A7,Canada



Журнал «Управление и оптимизация» Общества промышленной и прикладной
математики; 2005 год, том 44, вып. 2.

SIAM Journal on Control & Optimization; 2005, Vol. 44 Issue 2,

ISSN:

0363
-
0129

Publisher Information:

Society for Industrial & Applied Mathematics

3
600 University City, Science Center, Philadelphia Pennsylvania 19104
-
2688, United States of America

http://www.siam.org

СТАТЬИ


1.

Ограниченная вариация проблемы управления для процессов диффузии.

A Bounded Variation Control Problem for Diffusion Processes
. By: Weerasinghe, Ananda. p389, 29p;

Ключевые слова

: MATHEMATICAL analysis, MATHEMATICS, STOCHASTIC analysis, STOCHASTIC
processes

Author
-
Supplied Keywords
:

stochastic optimal control, optimal stopping, local
-
time processes,
diffusions with reflections

Abstract:

We consider an infinite horizon discounted cost minimization problem for a one
-
dimensional
stochastic differential equation model. The available control is an added bounded variation process. The cost
structure involves a running cost function an
d a proportional cost for the use of the control process. The running
cost function is not necessarily convex. We obtain sufficient conditions to guarantee the optimality of the zero
control. Also, for unbounded cost functions, we provide sufficient condit
ions which make our optimal state
process a reflecting diffusion on a compact interval. In both cases, the value function is a C2 function. For
bounded cost functions, under additional assumptions, we obtain a complex optimal strategy which turned out
to b
e a mixture of jumps and local
-
time
-
type processes. In this case, we show that the value function is only a
C1 function and that it fails to be a C2 function. We also discuss a related variance control problem.
[ABSTRACT FROM AUTHOR]

Author Affiliations
:

1
Department of Mathematics, 400 Carver Hall, Iowa State University, Ames, IA 50011

2.

Топологии графов, метрики лакун и робастная устойчивость в нелинейных системах.

Graph Topologies, Gap Metrics, and Robust Stability for Nonlinear Systems. By: Bian, W.; Fr
ench, M.p418,
26p;

Ключевые слова

: GRAPHIC methods, NONLINEAR systems, SCIENCE, SYSTEM theory

Author
-
Supplied Keywords:

gap metric, graph metric, graph topology, robust stability, nonlinear systems

Abstract:

Graph topologies for nonlinear operators which
admit coprime factorizations are defined w.r.t. a
gain , function notion of stability in a general normed signal space setting. Several metrics are also defined and
their relationship to the graph topologies are examined. In particular, relationships betwe
en nonlinear
generalizations of the gap and graph metrics, Georgiou
-
type formulae, and the graph topologies are established.
Closed loop robustness results are given w.r.t. the graph topology, where the role of a coercivity condition on
the nominal plant i
s emphasized. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1School of Electronics and Computer Science, University of Southampton, Southampton
SO17 1BJ, United Kingdom


8

3.

Ограниченное стохастическое линейно
-
квадратичное управление со случайными
коэффициент
ами и его приложение к задаче выбора портфеля активов.

Constrained Stochastic LQ Control with Random Coefficients, and Application to Portfolio Selection. By: Ying
Hu; Xun Yu Zhou.p444, 23p;

Ключевые слова

: CONTROL theory, LINEAR control systems, LINEAR s
ystems, SYSTEM theory, H2
control

Author
-
Supplied Keywords
:

stochastic LQ control, extended stochastic Riccati equation, backward,
stochastic differential equation, mean
-
variance portfolio selection, efficient portfolio, efficient frontier

Abstract:

This p
aper is devoted to the study of a stochastic linear
-
quadratic (LQ) optimal control problem
where the control variable is constrained in a cone, and all the coefficients of the problem are random
processes. Employing Tanaka's formula, optimal control and op
timal cost are explicitly obtained via solutions
to two extended stochastic Riccati equations (ESREs). The ESREs, introduced for the first time in this paper,
are highly nonlinear backward stochastic differential equations (BSDEs), whose solvability is pro
ved based on
a truncation function technique and Kobylanski's results. The general results obtained are then applied to a
mean
-
variance portfolio selection problem for a financial market with random appreciation and volatility rates,
and with short
-
selling

prohibited. Feasibility of the problem is characterized, and efficient portfolios and
efficient frontier are presented in closed forms. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Institut de Recherche Mathématique de Rennes, Université de Rennes 1, Camp
us de
Beaulieu, 35042 Rennes Cedex, France, 2Department of Systems Engineering and Engineering Management,
The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

4.
Одновременное решение прямой и двойственной задач активного нахождения стратегии
управления с оптимальными границами для нелинейных систем реактивной диффузии.


A Primal
-
Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction
-
Diffusio
n System.
By: Griesse,R.; Volkwein, S.p467, 28p;



Ключевые слова

:BURGERS equation, DIFFUSION, NONLINEAR systems, SYSTEM theory

Author
-
Supplied Keywords
:

reaction
-
diffusion equations, optimal boundary control, bilateral and
integral control constraints, p
rimal
-
dual active set strategy, semismooth Newton methods

Abstract:

This paper is concerned with optimal boundary control of an instationary reaction
-
diffusion
system in three spatial dimensions. This problem involves a coupled nonlinear system of paraboli
c differential
equations with bilateral as well as integral control constraints. We include the integral constraint in the cost by a
penalty term whereas the bilateral control constraints are handled explicitly. First
-

and second
-
order conditions
for the o
ptimization problem are analyzed. A primal
-
dual active set strategy is utilized to compute optimal
solutions numerically. The algorithm is compared to a semismooth Newton method. [ABSTRACT FROM
AUTHOR]

Author Affiliations
:

1Karl
-
Franzens
-
Universität Graz,
Institut für Mathematik, Heinrichstrasse 36, A
-
8010
Graz, Austria, 2Johann Radon Institute for Computational and Applied Mathematics (RICAM),
Altenbergerstrasse 69, A
-
4040 Linz, Austria

5.

Алгоритм индивидуального обучения в играх нормальной формы.

Individual Q
-
Learning in Normal Form Games. By: Leslie, David S.; Collins, E. J.p495, 20p;



Ключевые слова

: COMPREHENSION, EDUCATION, EXTENSION (Logic), LEARNING

Author
-
Supplied Keywords
:

reinf
orcement learning, normal form games, stochastic approximation

multi
-
agent learning, player
-
dependent learning rates

Abstract:

The single
-
agent multi
-
armed bandit problem can be solved by an agent that learns the values of
each action using reinforcement l
earning. However, the multi
-
agent version of the problem, the iterated normal
form game, presents a more complex challenge, since the rewards available to each agent depend on the
strategies of the others. We consider the behavior of value
-
based learning a
gents in this situation, and show that
such agents cannot generally play at a Nash equilibrium, although if smooth best responses are used, a Nash

9

distribution can be reached. We introduce a particular value
-
based learning algorithm, which we call individu
al
Q
-
learning, and use stochastic approximation to study the asymptotic behavior, showing that strategies will
converge to Nash distribution almost surely in 2
-
player zero
-
sum games and 2
-
player partnership games.
Player
-
dependent learning rates are then c
onsidered, and it is shown that this extension converges in some
games for which many algorithms, including the basic algorithm initially considered, fail to converge.
[ABSTRACT FROM AUTHOR]

Author Affiliations
:

1School of Economics, The University of New
South Wales, Sydney, NSW 2052,
Australia, 2Department of Mathematics, University Walk, Bristol BS8 1TW, UK

6.

Процедура проектирования фильтрации, использующая метрику
H
2
and

H
(
infinity
) для
установления неопределенности.

H2 and H(infinity) Filtering Design Subject to Implementation Uncertainty. By: de Oliveira, Maurício C.;
Geromel, José C.p515, 16p

Ключевые слов
а

: CONTROL theory, LINEAR systems, MATRIX inequalities, SYSTEM analysis,
SYSTEM theory

Author
-
Supplied Keywords
:

robust filtering, implementation uncertainty, fragility

linear matrix inequalities

Abstract:

This paper presents new filtering design procedur
es for discrete
-
time linear systems. It provides
a solution to the problem of linear filtering design, assuming that the filter is subject to parametric uncertainty.
The problem is relevant, since the proposed filter design incorporates real world implemen
tation constraints
that are always present in practice. The transfer function and the state space realization of the filter are
simultaneously computed. The design procedure can also handle plant parametric uncertainty. In this case, the
plant parameters a
re assumed not to be exactly known but belonging to a given convex and closed polyhedron.
Robust performance is measured by the H2 and H$ [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mechanical and Aerospace Engineering, University of Califor
nia, San
Diego, La Jolla, CA 92093
-
041 2DSCE, School of Electrical and Computer Engineering, UNICAMP, CP 6101,
13083
-
970, Campinas, SP, Brazil

7.

Формулы пространства состояний в проблеме Нехари
-
Такаджи для неэкспоненциально
-
устойчивых бесконечномерных систем.

State
-
Space Formulas for the Nehari
--
Takagi Problem for Nonexponentially Stable Infinite
-
Dimensional
Systems. By: Ball, Joseph A.; Mikkola, K
alle M.; Sasane, Amol J.p531, 33p;

Ключевые слова

: FACTORIZATION (Mathematics), FACTORIZATION of operators, MATHEMATICS,
TECHNOLOGY

Author
-
Supplied Keywords
:

Nehari
--
Takagi problem, infinite
-
dimensional systems, state
-
space
formulas, Nehari
-
Takagi problem

Abstract:

We obtain state
-
space formulas for the solution of the Nehari
--
Takagi/suboptimal Hankel norm
approximation problem for infinite
-
dimensional systems with a nonexponentially stable generator, via the
method of J
-
spectral factorization. We make key

use of a purely frequency
-
domain solution of the problem.
[ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mathematics, 460 McBryde, Virginia Polytechnic Institute and State
University, Blacksburg, VA 24061
-
0123

2Institute of Mathematics, Box 11
00, FIN
-
02015 Helsinki University of Technology, Helsinki, Finland

3Department of Mathematics, London School of Economics, Houghton St., London WC2A 2AE, UK

8.

Многодиапазонная стабилизация линейных многосенсорных систем посредством
коммуникационных канало
в с ограниченной пропускной способностью.

Multirate Stabilization of Linear Multiple Sensor Systems via Limited Capacity Communication Channels. By:
Matveev, Alexey S.; Savkin, Andrey V.p584, 34p;

Ключевые

слова

:DETECTORS, DIFFERENTIAL equations, Linear,
LINEAR systems, MATHEMATICS,
SYSTEM theory


10

Author
-
Supplied Keywords
:

networked control systems, finite data rate, communication constraints,
stabilizability

Abstract:

The paper addresses a feedback stabilization problem involving bit
-
rate communication cap
acity
constraints. A discrete
-
time partially observed linear system is studied. Unlike classic theory, the signals from
multiple sensors are transmitted to the controller over separate finite capacity communication channels. The
sensors do not have constan
t access to the channels, and the channels are not perfect: the messages incur time
-
varying transmission delays and may be corrupted or lost. However, we suppose that the time
-
average number
of bits per sample period that can be successfully transmitted ov
er the channel during a time interval converges
to a certain limit as the length of the interval becomes large. Necessary and sufficient conditions for
stabilizability are established. They give the tightest lower bounds on the channel capacities for which

stabilization is possible. An algorithm for stabilization is also presented. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mathematics and Mechanics, Saint Petersburg University, Universitetskii
pr. 28, Petrodvoretz, St. Petersburg, 198504, R
ussia

2School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney,
2052, Australia

9. 2
-
регуляризованный критерий Найквиста в линейных периодических системах с
непрерывным временем и его применение.


2
-
Regularized Nyquist Criterion in Linear Continuous
-
Time Periodic Systems and Its Implementation. By: Jun
Zhou; Hagiwara, Tomomichi. p618, 28p
;

Ключевые слова

:LINEAR operators, LINEAR systems, MATHEMATICS, SYSTEM theory

Author
-
Supplied Keywords
:

continuous
-
time periodic system, Nyquist criterion, determinant of Hilbert
-
-
Schmidt operators, convergence, determinant of Hilbert
-
Schmidt operators

Ab
stract:

First, by using the 2
-
regularized determinant technique for Hilbert
--
Schmidt operators, the
computation formula, infinite
-
product convergence, and analyticity of the 2
-
regularized determinant of the
modified harmonic state operator in finite
-
dimens
ional linear continuous
-
time periodic (FDLCP) systems are
derived in this paper. Second, based on these results, a 2
-
regularized Nyquist criterion is established for
asymptotic stability analysis of a class of FDLCP systems for the first time. Third, a num
eric implementation
algorithm for the 2
-
regularized Nyquist criterion is also proposed via the staircase truncation on the harmonic
transfer operator of the FDLCP system concerned. Finally, to illustrate the results of this paper, asymptotic
stability of t
he lossy Mathieu differential equation is investigated. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Electrical Engineering, Kyoto University, Kyotodaigaku
-
Katsura,
Nishikyo
-
ku, Kyoto 615
-
8510, Japan

10.

Производящий ряд для взаимосвязанных аналитических нелинейных систем.

Generating Series for Interconnected Analytic Nonlinear Systems. By: Gray, W. Steven; Yaqin Li.p646, 27p;

Ключевые

слова

:MATHEMATICS, NONLINEAR operators, NONLINEAR systems, SYSTEM theo
ry,
THEORY

Author
-
Supplied Keywords:

Chen
--
Fliess series, formal power series, nonlinear operators, nonlinear systems,
Chen
-
Fliess series

Abstract:

Given two analytic nonlinear input
-
output systems represented as Fliess operators, four system
interconnecti
ons are considered in a unified setting: the parallel connection, product connection, cascade
connection, and feedback connection. In each case, the corresponding generating series is produced and
conditions for the convergence of the corresponding Fliess
operator are given. In the process, an existing notion
of a composition product for formal power series has its set of known properties significantly expanded. In
addition, the notion of a feedback product for formal power series is shown to be well define
d in a broad
context, and its basic properties are characterized. [ABSTRACT FROM AUTHOR]

Author Affiliations:

1Department of Electrical and Computer Engineering, Old Dominion University,
Norfolk, VA 23529
-
0246

11.

Взаимосвязь между принципом максимума и динамическим программированием в
проблемах управления с ограничениями.

A Connection Between the Maximum Principle and Dynamic Programming for Constrained Control Problems.
By: Cernea, Aurelian; Frankowska, Hélène.p6
73, 31p;


11

Ключевые

слова

:

DYNAMIC programming, MATHEMATICAL optimization, PROGRAMMING
(Mathematics), SYSTEMS engineering

Author
-
Supplied Keywords:

differential inclusions, nondegenerate maximum principle, dynamic
programming, generalized derivatives, state

constraints, variational inclusions

Abstract:

We consider the Mayer optimal control problem with dynamics given by a nonconvex
differential inclusion, whose trajectories are constrained to a closed set and obtain necessary optimality
conditions in the for
m of the maximum principle together with a relation between the costate and the value
function. This additional relation is applied in turn to show that the maximum principle is nondegenerate. We
also provide a sufficient condition for the normality of the

maximum
\
break principle. To derive these results we
use convex linearizations of differential inclusions and convex linearizations of constraints along optimal
trajectories. Then duality theory of convex analysis is applied to derive necessary conditions
for optimality. In
this way we extend the known relations between the maximum principle and dynamic programming from the
unconstrained problems to the constrained case. [ABSTRACT FROM AUTHOR]

Author Affiliations:

1Faculty of Mathematics and Informatics, Un
iversity of Bucharest, Academiei 14,
010014 Bucharest, Romania, 2CNRS, CREA, École Polytechnique, 1, rue Descartes, 75005 Paris, France

12.

Устойчивость типа «вход
-
состояние» в биохимических сетях с регулируемой скоростью
обмена.

Input
-
to
-
State Stability o
f Rate
-
Controlled Biochemical Networks.
By: Chaves, Madalena.p704, 24p;

Ключевые

слова

:
MATHEMATICAL optimization, MATHEMATICS, NONLINEAR systems,
OPERATIONS research, SYSTEM theory

Author
-
Supplied Keywords
: stability, robustness, biochemical networks

Abs
tract:

In this paper, the study of the class of biochemical systems known as zero deficiency networks is
extended to the case of time
-
varying kinetic parameters. We show that the resulting class of nonlinear systems
with inputs satisfies a notion of input
-
to
-
state stability uniformly over a set of parameters. In particular, the
input
-
to
-
state stability estimates allow us to characterize the robustness of zero deficiency networks with
respect to perturbations in the parameters as well as study their stabilit
y when the reaction rates are controlled
by an independent process. [ABSTRACT FROM AUTHOR]

Author Affiliations:

1Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway,
NJ 08854


13.

Оптимальный оптический поток.

An Optimal Optica
l Flow.
By: Ito, Kazufumi. p728, 15p;

Ключевые слова

:CONTROL theory, MATHEMATICAL optimization, MATHEMATICS, SYSTEM
analysis, SYSTEM theory

Author
-
Supplied Keywords
: optical flow, feedback solution

Abstract:

The problem of determining optical flow for the

image registration problem is discussed.
Feedback solutions are proposed, and it is shown that they are optimal for certain optimal control formulations
of the problem. Well
-
posedness of the proposed feedback solutions is analyzed, and numerical findings
are
presented. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Center for Research in Scientific Computation, North Carolina State University,
Raleigh, NC 27695
-
8205

14.

Проблемы оптимизации изогнутых механических структур.

Optimization Problems for Curved Mechanical Structures. By: Arnăutu, Viorel; Sprekels, Jürgen; Tiba,
Dan.p743, 33p;

Ключевые слова

:CONTROL theory, GEOMETRY, MATHEMATICAL optimization, MATHEMATICS,
SY
STEM analysis, SYSTEM theory

Author
-
Supplied Keywords
: shells and curved rods, minimal regularity, optimal design


12

Abstract:

We study optimal design problems for three
-
dimensional curved rods and for shells under
minimal regularity assumptions for the geome
try. The results that we establish concern the existence of optimal
shapes and the sensitivity analysis. We also compute some numerical examples for the optimization of curve
rods. The models used have been investigated in our previous works [A. Ignat, J.
Sprekels, and D. Tiba, Math.
Methods Appl. Sci., 25 (2002), pp. 835
--
854], [J. Sprekels and D. Tiba, Adv. Math. Sci. Appl., 12 (2002), pp.
175
--
190]. A complete study of Kirchhoff
--
Love arches and of related minimization questions has been
performed in [A.

Ignat, J. Sprekels, and D. Tiba, SIAM J. Control Optim., 40 (2001), pp. 1107
--
1133].
[ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Depa
rtment of Mathematics, University "Al. I. Cuza," RO
-
6600 Iaşi, Romania

2Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D
-
10117 Berlin, Germany

3Institute of Mathematics, Romanian Academy, P. O. Box 1
-
764, RO
-
70700 Bucharest,
Romania



Обзоры Общества промышленной и прикладной математики, том. 47,

вып. 3, 2005 год

SIAM Review, 2005, Vol. 47 Issue 3,

Society for Industrial and Applied Mathematics

3600 University City Science Center | Philadelphia, PA 19104 USA

Phone: +1
-
215
-
38
2
-
9800 | FAX: +1
-
215
-
386
-
7999


Полный текст приводимых ниже обзоров доступен в формате .
pdf

СТАТЬИ


1.
Обзоры и аналитика
.
By: LeVeque, Randy. p405
-
405,



Ключевые

слова

:ARITHMETIC, MATHEMATICS

Abstract:

Introduces a series of articles on industrial and

applied mathematics.

2.

Канонические формы пары эрмитовых матриц при условии строгой эквивалентности и
конгруэнтности.

Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence. By: Lancaster, Peter;
Rodman, Leiba. p407

Ключевые с
лова

:ALGEBRA, Universal, DIOPHANTINE analysis, MATRICES, NUMBER theory,
NUMBERS, Complex, PERMUTATIONS

Author
-
Supplied Keywords
: canonical forms, matrix pairs, strict equivalence, congruence

Abstract:

After a brief historical review and an account of the
canonical forms attributed to Jordan and
Kronecker, a systematic development is made of the simultaneous reduction of pairs of quadratic forms over
the complex numbers and over the reals. These reductions are by strict equivalence and by congruence, and
es
sentially complete proofs are presented. Some closely related results which can be derived from the canonical
forms are also included. They concern simultaneous diagonalization, a new criterion for the existence of
positive definite linear combinations of
a pair of Hermitian matrices, and the canonical structures of matrices
which are self
-
adjoint in an indefinite inner product. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mathematics and Statistics, University of Calgary, Calgary, AB, T2N
1N4
, Canada, 2Department of Mathematics, College of William and Mary, Williamsburg, VA

3.

Проблемы и техника


введение.

Problems and Techniques
-

Introduction. By: Flaherty, Joe.p445
-
446, 2p;

Ключевые

слова

:ARITHMETIC, MATHEMATICS

Abstract:

Introduces a series of articles on industrial and applied mathematics.


13

4.

Быстрое и устойчивое решение
проблемы переноса излучения.

A Fast and Stable Solution Method for the Radiative Transfer Problem. By: Edström, Per. p447
-
468, 22p;


Ключевые слова

: DIFFERENTIAL equations, Partial, EUCLID'S Elements, GEOMETRY, RADIATIVE
transfer, SCATTERING (Mathematics
), SPEED

Author
-
Supplied Keywords
: radiative transfer, discrete ordinates, solution method, numerical stability, speed

Abstract:

Radiative transfer theory considers radiation in turbid media and is used in a wide range of
applications. This paper outlines
a problem formulation and a solution method for the radiative transfer problem
in multilayer scattering and absorbing media using discrete ordinate model geometry. A selection of different
steps is brought together. The main contribution here is the synthe
sis of these steps, all of which have been used
in different areas, but never all together in one method. First, all necessary steps to get a numerically stable
solution procedure are treated, and then methods are introduced to increase the speed by a fact
or of several
thousand. This includes methods for handling strongly forward
-
scattering media. The method is shown to be
unconditionally stable, though the problem was previously considered numerically intractable. [ABSTRACT
FROM AUTHOR]

Author Affiliations
:

1Department of Engineering, Physics and Mathematics, Mid Sweden University,
Gånsviksvägen 2, 87188 Härnösand, Sweden

5. Усовершенствование метода частных решений.


Reviving the Method of Particular Solutions. By: Betcke, Timo; Trefethen, Lloyd N.p469
-
491
, 23p, 4
diagrams, 13 graphs, 1c;

Ключевые

слова

: ALGORITHMS, DIFFERENTIAL equations, Partial, EIGENVALUES, LAPLACIAN
operator, MATRICES, POLYGONS, POLYNOMIALS

Author
-
Supplied Keywords
: eigenvalues, method of particular solutions, subspace angles

Abstract
:

Fox, Henrici, and Moler made famous a "method of particular solutions" for computing
eigenvalues and eigenmodes of the Laplacian in planar regions such as polygons. We explain why their
formulation of this method breaks down when applied to regions that
are insufficiently simple and propose a
modification that avoids these difficulties. The crucial changes are to introduce points in the interior of the
region as well as on the boundary and to minimize a subspace angle rather than just a singular value or
a
determinant. Similar methods may be used to improve other "mesh
-
free" algorithms for a variety of
computational problems. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Computing Laboratory, Oxford University, Wolfson Building, Parks Road, Oxford OX1
3QD,
UK

6.

Сходимость полиномиального перезапуска метода Крылова для вычисления собственных
значений.

Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations. By: Beattie, Christopher
A.; Embree, Mark; Sorensen, D. C.p492
-
515, 24p, 1 diagram, 9
graphs;

Ключевые слова

: ALGEBRA, Universal, CONVERGENCE, EIGENVALUES, FUNCTIONAL analysis,
HERMITIAN forms, MATRICES, POLYNOMIALS

Author
-
Supplied Keywords
: Krylov subspaces, Arnoldi algorithm, Lanczos algorithm, eigenvalue
computations, containment gap,
pseudospectra

Abstract:

Krylov subspace methods have led to reliable and effective tools for resolving large
-
scale, non
-
Hermitian eigenvalue problems. Since practical considerations often limit the dimension of the approximating
Krylov subspace, modern alg
orithms attempt to identify and condense significant components from the current
subspace, encode them into a polynomial filter, and then restart the Krylov process with a suitably refined
starting vector. In effect, polynomial filters dynamically steer lo
w
-
dimensional Krylov spaces toward a desired
invariant subspace through their action on the starting vector. The spectral complexity of nonnormal matrices
makes convergence of these methods difficult to analyze, and these effects are further complicated by

the
polynomial filter process. The principal object of study in this paper is the angle an approximating Krylov
subspace forms with a desired invariant subspace. Convergence analysis is posed in a geometric framework that
is robust to eigenvalue ill
-
condi
tioning, yet remains relatively uncluttered. The bounds described here suggest

14

that the sensitivity of desired eigenvalues exerts little influence on convergence, provided the associated
invariant subspace is well
-
conditioned; ill
-
conditioning of unwanted
eigenvalues plays an essential role. This
framework also gives insight into the design of effective polynomial filters. Numerical examples illustrate the
subtleties that arise when restarting non
-
Hermitian iterations. [ABSTRACT FROM AUTHOR]

Author Affiliat
ions
:

1Department of Mathematics, Virginia Polytechnic Institute and State University,
Blacksburg, VA 24061
-
012 2Department of Computational and Applied Mathematics, Rice University, 6100
Main Street
--
MS 134, Houston, TX 77005
-
1892


7.

Обзор направления, п
редставляемого серией статей по математическому моделированию.

SIGEST
-

Introduction. p517
-
517, 1p;

Ключевые слова

: MATHEMATICAL models, MATHEMATICS

Abstract:

Introduces a series of articles on mathematical modeling.

8. Обеспечение устойчивости модели бе
га.


A Simply Stabilized Running Model. By: Ghigliazza, R. M.; Altendorfer, R.; Holmes, P.; Koditschek, D.p519
-
549, 31p, 1 diagram, 14 graphs;

Ключевые

слова

: LOCOMOTION, MECHANICS, PENDULUM, ROTATIONAL motion (Rigid
dynamics), ANIMAL species

Author
-
Suppl
ied Keywords
: legged locomotion, spring
-
loaded inverted pendulum, periodic gaits, bifurcation,
stability

Abstract:

The spring
-
loaded inverted pendulum (SLIP), or monopedal hopper, is an archetypal model for
running in numerous animal species. Although loco
motion is generally considered a complex task requiring
sophisticated control strategies to account for coordination and stability, we show that stable gaits can be found
in the SLIP with both linear and "air" springs, controlled by a simple fixed
-
leg rese
t policy. We first derive
touchdown
-
to
-
touchdown Poincaré maps under the common assumption of negligible gravitational effects
during the stance phase. We subsequently include and assess these effects and briefly consider coupling to
pitching motions. We i
nvestigate the domains of attraction of symmetric periodic gaits and bifurcations from
the branches of stable gaits in terms of nondimensional parameters. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mechanical and Aerospace Engineering, Prin
ceton University, Princeton,
NJ 0854 2Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor,
MI 4810 3Department of Mechanical and Aerospace Engineering, Program in Applied and Computational
Mathematics, Princeton Uni
versity, Princeton, NJ 08544

4Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104

9.

Знакомство с содержанием серии статей в области асимптотической теории математики.

Education
-

Introduction. By: Bernoff, Andrew J.p551
-
551, 1p;

Ключевые слова

: ASYMPTOTIC distribution (Probability theory), MATHEMATICS

Abstract:

Introduces a series of art
icles on asymptotic theory in mathematics.

10.

Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge. By: Boyd,
John P.p553
-
575, 23p, 2 charts, 8 graphs;

Ключевые слова

: APPROXIMATION theory, BOUNDARY layer, FLUID dynamics,

FUNCTIONAL
analysis, HYDRODYNAMICS, PERTURBATION (Mathematics)

Author
-
Supplied Keywords
:

perturbation methods, asymptotic, hyperasymptotic, exponential smallness

beyond
-
all
-
orders perturbation theory

Abstract:

The simplest problem with boundary layers,
ε
²
u<sub>xx</sub>
-

u =
-
f(x) is used to illustrate (i)
why the perturbation series in powers of
ε

is asymptotic but divergent, (ii) why the optimally truncated
expansion is "superasymptotic" in the sense that that error is proportional to exp(
-
[constant]/
ε
),

and (iii) how to
obtain an improved "hyperasymptotic" approximation. [ABSTRACT FROM AUTHOR]

Author Affiliations:

1Department of Atmospheric, Oceanic and Space Science, University of Michigan, 2455
Hayward Avenue, Ann Arbor, MI 48109


15

11.

Обзор книг, упомян
утых в томе 47, вып. 3 "
SIAM

Review
."

Book Reviews
-

Introduction. By: O'Malley, Bob.p577
-
577, 1p BOOK reviewing

Ключевые

слова
:

PERIODICALS

Abstract:

Introduces a series of book reviews featured in the volume 47, number 3 issue of "SIAM Review."

12.

Обз
ор содержания недавно вышедших книг по механике жидкостей.

Featured Review: Recent Books on Fluid Mechanics. By: Breidenthal, Robert E.; O'Malley Jr., Robert E.p579
-
582, 4p; BOOKS
--

Reviews

Ключевые слова

: FLUID mechanics, NONFICTION

Reviews & Products:

FLOW of Industrial Fluids: Theory & Equations (Book)

THEORY & Applications of Viscous Fluid Flows (Book)

DYNAMICS of Viscous Compressible Fluids (Book)

People:

MULLEY, Raymond, FEIREISL, Eduard, ZEYTOUNIAN, R.

Abstract:

Reviews several books on fluid mecha
nics. "Flow of Industrial Fluids: Theory and Equations,"
by Raymond Mulley; "Dynamics of Viscous Compressible Fluids," by Eduard Feireisl; "Theory and
Applications of Viscous Fluid Flows," by R. Zeytounian.

Author Affiliations
:

1University of Washington

13
.

Матричная организация мультигрида: теория и приложения.

Matrix
-
Based Multigrid: Theory and Applications. By: Adams, Loyce; O'Malley Jr., Robert E.p582
-
585, 4p;

Ключевые слова

: BOOKS
--

Reviews, MULTIGRID methods (Numerical analysis), NONFICTION

Reviews
& Products:

MATRIX
-
Based Multigrid: Theory & Applications (Book)

People:

SHAPIRA, Yair

Abstract:

Reviews the book "Matrix
-
Based Multigrid: Theory and Applications," by Yair Shapira.

Author Affiliations
:

1University of Washington

14.

Введение в теорию коопе
ративных игр.

Introduction to the Theory of Cooperative Games. By: Artstein, Zvi; O'Malley Jr., Robert E.p585
-
586, 2p;

Ключевые слова

:BOOKS
--

Reviews, GAME theory, NONFICTION

Reviews & Products:

INTRODUCTION to the Theory of Cooperative Games (Book)

Peo
ple:

PELEG, Bezalel, SUDHOLTER, Peter

Abstract:

Reviews the book "Introduction to the Theory of Cooperative Games," by Bezalel Peleg and
Peter Sudhölter.

Author Affiliations:

1Weizmann Institute of Science

15.

Polynomials. By: Barbeau, Edward; O'Malley Jr.
, Robert E.p586
-
587, 2p BOOKS
--

Reviews

Ключевые

слова

: POLYNOMIALS, NONFICTION

Reviews & Products:

POLYNOMIALS (Book)

People:

PRASOLOV, Victor V.

Abstract:

Reviews the book "Polynomials," by Victor V. Prasolov.

Author Affiliations
:

1University of Toronto

16.

Динамика слоев, групп и псевдогрупп
.

Dynamics of Foliations, Groups and Pseudogroups. By: Conlon, Lawrence; O'Malley Jr., Robert E.p587
-
594,
8p;

Ключевые слова

: BOOKS
--

Reviews, DYNAMICS, NONFICTION

Reviews & Products:

DYNAMICS of Foliations, Groups & Pseudogroups (Book)

People:

WALCZAK,
Pawel Grzegorz

Abstract:

Reviews the book "Dynamics of Foliations, Groups and Pseudogroups," by Pawel Grzegorz
Walczak.

Author Affiliations
:

1Washington University


16

17.

Руководство факультетом математических наук: ресурсы кафедр.

Leading the Mathematical Sc
iences Department: A Resource for Chairs. By: Conway, John B.; O'Malley Jr.,
Robert E.p594
-
597, 4p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

LEADING the Mathematical Sciences Department: A Resource for Chairs (Book)

Pe
ople:

SCOTT Jon, STRALEY Tina, SWARD Marcia

Abstract:

Reviews the book "Leading the Mathematical Sciences Department: A Resource for Chairs,"
edited by Tina Straley, Marcia Sward and Jon Scott.

Author Affiliations
:

1National Science Foundation

18.

Знакомст
во с уравнениями в частных производных с использованием
MATLAB
.

An Introduction to Partial Differential Equations with MATLAB. By: Davis, Jon H.; O'Malley Jr., Robert
E.p597
-
597, 1p;

Ключевые слова

: BOOKS
--

Reviews, DIFFERENTIAL equations, Partial, NONFI
CTION

Reviews & Products:

INTRODUCTION to Partial Differential Equations With MATLAB, An (Book)

People:

COLEMAN, Matthew P.

Abstract:

Reviews the book "An Introduction to Partial Differential Equations With MATLAB," by
Matthew P. Coleman.

Author Affiliatio
ns
:

1Queen's University

19.

Теория Таубе: столетие развития
.

Tauberian Theory: A Century of Developments. By: Duren, Peter; O'Malley Jr., Robert E.p597
-
598, 2p;

BOOKS
--

Reviews

Ключевые слова

: TAUBERIAN theorems, NONFICTION

Reviews & Products:

TAUBERIAN Theory: A Century of Develo
pments (Book)

People:

KOREVAAR, Jacob

Abstract:

Reviews the book "Tauberian Theory: A Century of Developments," by Jacob Korevaar.

Author Affiliations
:

1University of Michigan

20.

Теория арбитража при непрерывном времени. Второе издание.

Arbitrage Theory i
n Continuous Time. Second Edition. By: Ellio, Robert J.; O'Malley Jr., Robert E.p598
-
600,
3p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

ARBITRAGE Theory in Continuous Times (Book)

People:

BJORK, Tomas

Abstract:

Reviews
the book "Arbitrage Theory in Continuous Time," Second Edition, by Tomas Bjork.

Author Affiliations
:

1University of Calgary

21.

Оценки функции Грина для решёточных операторов Шредингера и приложений.

Green’s Function Estimates for Lattice Schrodinger Opera
tors and Applications. By: Figotin, Alexander;
O'Malley Jr., Robert E. p600
-
602, 3p;

Ключевые слова

: BOOKS
--

Reviews, LATTICE theory, NONFICTION

Reviews & Products:

GREEN'S Function Estimates for Lattice Schrodinger Operators & Applications (Book)

Peop
le:

BOURGAIN, J.

Abstract:

Reviews the book "Green's Function Estimates for Lattice Schrödinger Operators and
Applications," by J. Bourgain.

Author Affiliations:

1University of California, Irvine

22.

Вероятность в дискретных структурах.

Probability on Disc
rete Structures. By: Gentile, Guido; O'Malley Jr., Robert E.p602
-
605, 4p; BOOKS
--

Reviews


17

Ключевые слова

: PROBABILITIES, NONFICTION

Reviews & Products:

PROBABILITY on Discrete Structures (Book)

People:

KESTEN, Harry

Abstract:

Reviews the book "Probabilit
y on Discrete Structures," edited by Harry Kesten.

Author Affiliations
:

1Università degli Studi "Roma Tre"

23. Геостатистический анализ композиционной информации.


Geostatistical Analysis of Compositional Data. By: Goovaerts, Pierre; O'Malley Jr., Robert E
.

p605
-
606, 2p;

Ключевые слова

: BOOKS
--

Reviews, GEOLOGY
--

Statistical methods, NONFICTION

Reviews & Products:

GEOSTATISTICAL Analysis of Compositional Data (Book)

People:

PAWLOWSKY
-
Glahn, Vera OLEA, Ricardo A.

Abstract:

Reviews the book "Geostatistical

Analysis of Compositional Data," by Vera Pawlowsky
-
Glahn
and Ricardo A. Olea.

Author Affiliations
:

1BioMedware, Inc.

24.

Основные математические методы физики.

Essential Mathematical Methods for Physicists. By: Gross, Laura K.; O'Malley Jr., Robert E.

p60
6
-
608, 3p; BOOKS
--

Reviews

Ключевые

слова

: MATHEMATICS, NONFICTION

Reviews & Products:

ESSENTIAL Mathematical Methods for Physicists (Book)

People:

WEBER, Hans J., ARFKEN, George B.

Abstract:

Reviews the book "Essential Mathematical Methods for Physicist
s," by Hans J. Weber and
George B. Arfken.

Author Affiliations
:

1The University of Akron

25.

Теория Ли. Алгебры Ли и представления.

Lie Theory. Lie Algebras and Representations. By: Hall, Brian C.; Jones, B. F.; O'Malley Jr., Robert E.p608
-
610, 3p;

Ключевы
е слова

: ALGEBRAS, Linear, BOOKS
--

Reviews, NONFICTION

Reviews & Products:

LIE Theory: Lie Algebras & Representations (Book)

People:

ANKER, Jean
-
Philippe, ORSTED, Bent

Abstract:

Reviews the book "Lie Theory. Lie Algebras and Representations," edited by J
ean
-
Philippe
Anker and Bent Ørsted.

Author Affiliations
:

1University of Notre Dame

26. Гидродинамическая устойчивость. Второе издание.


Hydrodynamic Stability. Second Edition. By: Herron, Isom H.; O'Malley Jr., Robert E.p610
-
610, 1p;

BOOKS
--

Reviews

Ключе
вые слова

: HYDRODYNAMICS, NONFICTION

Reviews & Products:

HYDRODYNAMIC Stability (Book)

People:

REID, W. H., DRAZIN, P. G.

Abstract:

Reviews the book "Hydrodynamic Stability," Second Edition, by P. G. Drazin and W. H. Reid.

Author Affiliations
:

1Rensselaer

Polytechnic Institute

27.

Введение в методы Монте
-
Карло применительно к транспортным задачам и уравнениям
диффузии.

Introduction to Monte
-
Carlo Methods for Transport and Diffusion Equations. By: Illner, Reinhard; O'Malley
Jr., Robert E.p610
-
612, 3p;

Ключе
вые слова

: BOOKS
--

Reviews, MONTE Carlo method, NONFICTION

Reviews & Products:

INTRODUCTION to Monte
-
Carlo Methods for Transport & Diffusion Equations (Book)


18

People:

LAPEYRE, B., PARDOUX, E., SENTIS, R.

Abstract:

Reviews the book "Introduction to Monte
-
C
arlo Methods for Transport and Diffusion
Equations," by B. Lapeyre, É. Pardoux and R. Sentis, translated by Alain Craig and Fionn Craig.

Author Affiliations:

1University of Victoria

28.

Подход к построению грид, основанный на вычислительной дифференциально
й геометрии.

A Computational Differential Geometry Approach to Grid Generation. By: Knupp, Patrick; O'Malley Jr.,
Robert E.p612
-
614, 3p;

Ключевые слова

: BOOKS
--

Reviews, GEOMETRY, Differential, NONFICTION

Reviews & Products:

COMPUTATIONAL Differential Ge
ometry Approach to Grid Generation, A (Book)

People:

LISEIKIN, V. D.

Abstract:

Reviews the book "A Computational Differential Geometry Approach to Grid Generation," by
V. D. Liseikin.

Author Affiliations
:

1Sandia National Laboratories


29.

Проблемы Арнольд
а.


Arnold’s Problems. By: Meyer, Kenneth R.; O'Malley Jr., Robert E.p614
-
615, 2p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

ARNOLD'S Problems (Book)

People:

ARNOLD, Vladimir I.

Abstract:

Reviews the book "Arnold's Pro
blems," by Vladimir I. Arnold.

30.

Analysis: An Introduction. By: Morrow, James Allen; O'Malley Jr., Robert E. p615
-
616, 2p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICAL analysis, NONFICTION

Reviews & Products:

ANALYSIS: An Introduction (Book)

People:

B
EALS, Richard

Abstract:

Reviews the book "Analysis: An Introduction," by Richard Beals.

Author Affiliations
:

1University of Washington

31.

Основы распространения сейсмических волн.

Fundamentals of Seismic Wave Propagation. By: Nowack, Robert L.; O'Malley
Jr., Robert E.p616
-
618, 4p;

Ключевые слова

: BOOKS
--

Reviews, SEISMIC waves, NONFICTION

Reviews & Products:

FUNDAMENTALS of Seismic Wave Propagation (Book)

People:

CHAPMAN, Chris

Abstract:

Reviews the book "Fundamentals of Seismic Wave Propagation," by C
hris Chapman.

Author Affiliations
:

1Purdue University

32. Анализ механических нагрузок.


Working Analysis. By: Roytburd, Victor; O'Malley Jr., Robert E.p618
-
621, 3p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICAL analysis, NONFICTION

Reviews & Products:

WORKING Analysis (Book)

People:

COOPER, Jeffery

Abstract:

Reviews the book "Working Analysis," by Jefferey Cooper.

Author Affiliations
:

1Rensselaer Polytechnic Institute

33.

Оптимальный синтез систем управления на двумерных многообразиях.

Optimal Syntheses

for Control Systems on 2
-
D Manifolds. By: Schaettler, Heinz; O'Malley Jr., Robert E.p621
-
622, 2p;

Ключевые слова

: BOOKS
--

Reviews, MANIFOLDS (Mathematics), NONFICTION

Reviews & Products:

OPTIMAL Syntheses for Control Systems on 2
-
D Manifolds (Book)

Peop
le:

BOSCAIN, Ugo, PICCOLI, Benedetto


19

Abstract:

Reviews the book "Optimal Syntheses for Control Systems on 2
-
D Manifolds," by Ugo Boscain
and Benedetto Piccoli.

Author Affiliations
:

1Washington University

34.

Новые разностные схемы в дифференциальных уравне
ниях в частных производных.

New Difference Schemes for Partial Differential Equations. By: Strikwerda, John C.; O'Malley Jr., Robert
E.p622
-
623, 2p;

Ключевые слова

: BOOKS
--

Reviews, DIFFERENTIAL equations, Partial, NONFICTION

Reviews & Products:

NEW Dif
ference Schemes for Partial Differential Equations (Book)

People:

ASHYRALYEV, A., SOBOLEVSKII, P. E.

Abstract:

Reviews the book "New Difference Schemes for Partial Differential Equations," by A.
Ashyralyev and P. E. Sobolevskii.

Author Affiliations
:

1Unive
rsity of Wisconsin

35.

Зельдович
:
воспоминания.


Zeldovich: Reminiscences. By: Volpert, Vitaly; O'Malley Jr., Robert E.p623
-
626, 4p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

ZELDOVICH: Reminiscences (Book)

People:

SUNYAEV, R. A.

Abstract:

Re
views the book "Zeldovich: Reminiscences," edited by R. A. Sunyaev.

Author Affiliations
:

1CNRS, Université Claude Bernard Lyon I



Обзоры Общества промышленной и прикладной математики, том. 47,

вып. 4, 2005 год

SIAM Review, 2005, Vol. 47 Issue 4,

Society

for Industrial and Applied Mathematics

3600 University City Science Center | Philadelphia, PA 19104 USA

Phone: +1
-
215
-
382
-
9800 | FAX: +1
-
215
-
386
-
7999

Полный текст приводимых ниже обзоров доступен в формате .
pdf

СТАТЬИ


1. Обзоры и аналитика.

Survey and R
eview. By: Overton, Michael. p627
-
627, 1p;


Ключевые

слова

: ALGORITHMS, GRAPH theory, JACOBIANS, MATRIX derivatives, GRAPH coloring

Abstract:

The article focuses on graph coloring. Most people considered graph coloring as the efficient
approximation of
derivatives. Graph coloring has emerged as a tool for derivatives approximation, whether
Jacobians or Hessians matrices. Graph coloring is considered as a useful tool in formulating, analyzing and
designing algorithms.

2.

Какого цвета ваш Якобиан? Раскрас
ка графов при вычислении производных функций.

What Color Is Your Jacobian? Graph Coloring for Computing Derivatives. By: Gebremedhin, Assefaw Hadish;
Manne, Fredrik; Pothen, Alex.p629
-
705, 77p, 11 charts, 21 diagrams, 2 graphs;

Ключевые слова

: COMPUTER sc
ience, HESSIANS, JACOBIANS, MATRICES, GRAPH coloring

Author
-
Supplied Keywords
: sparsity, Jacobians, Hessians, finite differences, automatic differentiation,
matrix, partitioning problems, distance
-
k coloring, approximation algorithms, jacobians

Abstract:

G
raph coloring has been employed since the 1980s to efficiently compute sparse Jacobian and
Hessian matrices using either finite differences or automatic differentiation. Several coloring problems occur in

20

this context, depending on whether the matrix is a
Jacobian or a Hessian, and on the specifics of the
computational techniques employed. We consider eight variant vertex coloring problems here. This article
begins with a gentle introduction to the problem of computing a sparse Jacobian, followed by an over
view of
the historical development of the research area. Then we present a unifying framework for the graph models of
the variant matrix estimation problems. The framework is based upon the viewpoint that a partition of a matrix
into structurally orthogona
l groups of columns corresponds to distance
-
2 coloring an appropriate graph
representation. The unified framework helps integrate earlier work and leads to fresh insights; enables the
design of more efficient algorithms for many problems; leads to new algo
rithms for others; and eases the task of
building graph models for new problems. We report computational results on two of the coloring problems to
support our claims. Most of the methods for these problems treat a column or a row of a matrix as an atomic
entity, and partition the columns or rows (or both). A brief review of methods that do not fit these criteria is
provided. We also discuss results in discrete mathematics and theoretical computer science that intersect with
the topics considered here. [ABS
TRACT FROM AUTHOR]

Author Affiliations
:

1Computer Science Department, Old Dominion University, Norfolk, VA 23529
-
0162

2Department of Informatics, University of Bergen, N
-
5020 Bergen, Norway

3.

Проблемы и методы.

Problems and Techniques. By: Ipsen, Ilse. p707
-
707, 1p;


Ключевые

слова

: ALGEBRA, COMPUTER software, MACHINERY, ROBOTS, PRODUCTION
scheduling

Abstract:

The article presents a paper by Milind W. Dawande, H. Neil Geismar and Suresh P
. Sethi about
cyclic scheduling and a paper by Miguel Torres
-
Torriti and Hannah Michalska about the LTP software
package. In the case study, the authors showed the existence of a cyclic schedule maximizing long
-
term
throughput. In the problem presented, th
e messenger is a robot, the buildings are machines and mail represents
parts to be processed by the machines. Cyclic schedules are easy to implement and control. In the paper by
Torres
-
Torriti and Michalska, the Lie algebra theory and the LTP software pack
age were described. The
software is implemented in Maple to manipulate expressions that occur in the context of Lie algebra theory.
The theory is used in classical and quantum mechanics and analysis of dynamical systems.

4. Преобладание циклических решений

и запросов при


составлении расписания работы
роботизированных модулей
.

Dominance of Cyclic Solutions and Challenges in the Scheduling of Robotic Cells. By: Dawande, Milind W.;
Geismar, H. Neil; Sethi, Suresh P.p709
-
721, 13p, 2 diagrams;


Ключевые слова

: AUTOMATION, MACHINE theory, ROBOTICS, ROBOTS, PRODUCTION scheduling

Author
-
Supplied Keywords
: combinatorial optimization, robotics, discrete
-
time systems, scheduling theory

Abstract:

We consider the problem of scheduling operations in bufferless robotic
cells that produce identical
parts. Maximizing the long
-
term average throughput of parts is an important problem in both theory and
practice. We define an appropriate state space required to analyze this problem and show that cyclic schedules
which repeat
a fixed sequence of robot moves indefinitely are the only ones that need to be considered. For the
different classes of robotic cells studied in the literature, we discuss the current state of knowledge with respect
to cyclic schedules. Finally, we discuss

the importance of two fundamental open problems concerning optimal
cyclic schedules, special cases for which these problems have been solved, and attempts to solve the general
case. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1School of Management, Univer
sity of Texas, Dallas, Dallas, TX 75083

2College of Business, Prairie View A & M University, P . O. Box 519, Prairie View, TX 77446
-
0519

5.

Пакет программ для решения задач алгебры Ли.

A Software Package for Lie Algebraic Computations. By: Torres
-
Torriti,
Miguel; Michalska, Hannah.p722
-
745, 24p, 2 charts, 1 graph;

Ключевые

слова

: ALGEBRA, COMPUTER software, INVARIANTS, COMPUTER programming,
THEORY


21

Author
-
Supplied Keywords
:

Campbell
--
Baker
--
Hausdorff} formula, Hall bases, Wei
--
Norman
equations, symbolic co
mputation, computer algebra, differential equations, control systems, nonlinear filtering,
Campbell
--
Baker
--
Hausdorff formula

Abstract:

The paper presents a computer algebra package that facilitates Lie algebraic symbolic
computations required in the solut
ion of a variety of problems, such as the solution of right
-
invariant
differential equations evolving on Lie groups. Lie theory is a powerful tool, helpful in the analysis and design
of modern nonlinear control laws, nonlinear filters, and the study of par
ticle dynamics. The practical application
of Lie theory often results in highly complex symbolic expressions that are difficult to handle efficiently
without the aid of a computer software tool. The aim of the package is to facilitate and encourage further

research relying on Lie algebraic computations. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Electrical Engineering, Pontificia Universidad Católica de Chile, Vicuña
Mackenna 4860, Casilla 306, Correo 22, Santiago, Chile 6904411

2Department
of Electrical & Computer Engineering, McGill University, 3480 University Street, Montréal, QC,
Canada H3A 2A7

6.


SIGEST
. Анализ статьи «Эффект дисперсионной модели и потоковых популяций» (статья 7
)
By
:
Editors
,
p
746
-
746, 1
p
;


Ключевые

слова

: ANIMALS, B
ACTERIA, BODY, Human, BOTANY, PLANTS

Abstract:

The article presents the authors' views on the paper "The Effect of Dispersal Patterns on Stream
Populations," by Frithjof Lutscher, Elizaveta Pachepsky and Mark Lewis. The paper discusses the existence and
su
rvival of populations in streams. The discussion covers a variety of topics including flora and fauna in rivers,
bacteria in the human body and fish in streams. The paper analyzes the dispersal of populations in streams
under a range of ecological conditio
ns.

7.

Эффект дисперсионной модели и потоковых популяций.

The Effect of Dispersal Patterns on Stream Populations. By: Lutscher, Frithjof; Pachepsky, Elizaveta; Lewis,
Mark A.. p749
-
772, 24p, 7 graphs;


Ключевые слова

: POPULATION, POPULATION biology, SPEED
, STREAMFLOW, POPULATION
dynamics

Author
-
Supplied Keywords
:

nonlocal dispersal, critical domain size, spread speed, drift paradox

Abstract:

Individuals in streams are constantly subject to predominantly unidirectional flow. The question
of how these popula
tions can persist in upper stream reaches is known as the "drift paradox." We employ a
general mechanistic movement
-
model framework and derive dispersal kernels for this situation. We derive thin
-

as well as fat
-
tailed kernels. We then introduce population

dynamics and analyze the resulting
integrodifferential equation. In particular, we study how the critical domain size and the invasion speed depend
on the velocity of the stream flow. We give exact conditions under which a population can persist in a fini
te
domain in the presence of stream flow, as well as conditions under which a population can spread against the
direction of the flow. We find a critical stream velocity above which a population cannot persist in an arbitrarily
large domain. At exactly the

same stream velocity, the invasion speed against the flow becomes zero; for larger
velocities, the population retreats with the flow. [ABSTRACT FROM AUTHOR]

Author Affiliations
:

1Department of Mathematical and Statistical Sciences, University of Alberta

2
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5, Canada

3Department of Ecology, Evolution and Marine Biology, University of California, Santa Barbara, CA 93106

4Department of Mathematical and Statistical Sciences and Dep
artment of Biological Sciences, University of
Alberta, Edmonton, T6G2G1, Canada

8. Разбор статьи «Моделирование свободных бросков в баскетболе» (статья 9).


Education. By: Bernoff, Andrew J.p773
-
773, 1p;

Ключевые слова

: BASKETBALL, CALCULUS, MATHEMATICAL
optimization, FREE throw
(Basketball)

People:

LANG, Andrew, GABLOSNKY, Jeorg


22

Abstract:

The article presents the author's views on the article "Modeling Basketball Free Throws," by
Jeorg Gablonsky , and Andrew Lang. The article explains basketball free thro
ws by considering release angle,
release velocity, air resistance , and the shooter's height. The idea of multiobjective optimization and practical
advice for basketball free throws are , introduced. The article helps students learn calculus in a simple wa
y.

9.

Моделирование свободных бросков в баскетболе.

Modeling Basketball Free Throws. By: Gablonsky, Joerg M.; Lang, Andrew S. I. D. p775
-
798, 24p, 4 charts, 1
diagram, 7 graphs;


Ключевые слова

: BASKETBALL
--

Offense, CALCULUS, EQUATIONS, MATHEMATICAL mod
els,
FREE throw (Basketball)

Author
-
Supplied Keywords
:

basketball, mathematical modeling, calculus projects, mathematical
modelling

Abstract:

This paper presents a mathematical model for basketball free throws. It is intended to be a
supplement to an exist
ing calculus course and could easily be used as a basis for a calculus project. Students
will learn how to apply calculus to model an interesting real
-
world problem, from problem identification all the
way through to interpretation and verification. Along
the way we will introduce topics such as optimization
(univariate and multiobjective), numerical methods, and differential equations. [ABSTRACT FROM
AUTHOR]

Author Affiliations
:

1The Boeing Company, Mathematics and Engineering Analysis, P.O. Box 3707, MC 7
L
-
21, Seattle, WA98124
-
2202Department of Computer Science and Mathematics, Oral Roberts University, 7777
South Lewis Ave., Tulsa, OK 74171

10.

Математическое руководство по программированию
\

Математическое руководство по
графике.


The Mathematica GuideBook for Programming/The Mathematica GuideBook for Graphics. By: Hereman,
Willy.p799
-
858, 6p;

Ключевые слова

: BOOKS
--

Reviews, NONFICTION

Revi
ews & Products:

MATHEMATICA GuideBook for Programming, The (Book)

MATHEMATICA Guidebook for Graphics, The (Book)

People:

TROTT, Michael

Abstract:

The article reviews two books on mathematics including "The Mathematica GuideBook for
Programming" and "The Ma
thematica Guidebook for Graphics," by Michael Trott.

Author Affiliations:

1Colorado School of Mines

11.

Квантовая теория как производное явление: статистическая механика, представленная
матричными моделями, как предшественник квантовой теории поля.

Quantum Theory as an Emergent Phenomenon: The Statistical Mechanics of Matrix Models as the Precursor of
Quantu
m Field Theory. By: Bassi, Angelo.p806
-
808, 3p;

Ключевые слова

: BOOKS
--

Reviews, QUANTUM theory, NONFICTION

Reviews & Products:

QUANTUM Theory As an Emergent Phenomenon: The Statistical Mechanics of Matrix
Models As the Precursor of Quantum Field Theory

(Book)

People:

ADLER, Stephen L.

Abstract:

The article reviews the book "Quantum Theory As an Emergent Phenomenon: The Statistical
Mechanics of Matrix Models As the Precursor of Quantum Field Theory," by Stephen L. Adler.

Author Affiliations:

1Universität

München

12.

Анализ
I.

Analysis I. By: Beals, Richard.p808
-
810, 3p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

ANALYSIS I (Book)

People:

AMANN, Herbert, ESCHER, Joachim


23

Abstract:

The article reviews the book "Analysis I," by Herbert
Amann and Joachim Escher.

Author Affiliations:

1Yale University

13.

Теория измерений и фильтрация: введение и применение.

Measure Theory and Filtering: Introduction and Applications. By: Bensoussan, Alain.p810
-
810, 1p;

Ключевые слова

: BOOKS
--

Reviews, ME
ASURE theory, NONFICTION

Reviews & Products:

MEASURE Theory & Filtering: Introduction & Applications (Book)

People:

ELLIOTT, Rober, AGGOUN, Lakhdar

Abstract:

The article reviews the book "Measure Theory and Filtering: Introduction and Applications," by
Lak
hdar Aggoun and Robert Elliott.

Author Affiliations:

1University of Texas, Dallas

14.

Непараметризованный Байесиан, смоделированный с помощью нейронных сетей.


Bayesian Nonparametrics via Neural Networks. By: Bolstad, William M. (Bill). p810
-
812, 3p;

BAYESIAN statistical decision theory

Ключевые слова

: BOOKS
--

Reviews, NONFICTION

Reviews

& Products:

BAYESIAN Nonparametrics via Neural Networks (Book)

People:

LEE, Herbert H. K.

Abstract
:

The article reviews the book "Bayesian Nonparametrics via Neural Networks," by Herbert H. K.
Lee.

Author Affiliations
:

1University of Waikato, New Zealand

15.

Разбиение целого числа.

Integer Partitions. By: Bressoud, David.p812
-
813, 2p;


Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

INTEGER Partitions (Book)

People:

ANDREWS, George E.ERIKSSON, Kimmo

Abstract
:

The article reviews
the book "Integer Partitions," by George E. Andrews and Kimmo Eriksson.

Author Affiliations
:

1Macalester College

16. Введение в модулярные формы.


A First Course in Modular Forms. By: Bump, Daniel.p813
-
816, 4p;


Ключевые слова

: BOOKS
--

Reviews, NUMBER th
eory, NONFICTION

Reviews & Products:

FIRST Course in Modular Forms, A (Book)

People:

DIAMOND, Fred, SHURMAN, Jerry Michael

Abstract:

The article reviews the book "A First Course in Modular Forms," by Fred Diamond and Jerry
Michael Shurman.

Author Affiliati
ons
:

1Stanford University

17.

Динамика за пределами равномерной гиперболичности.

Dynamics beyond Uniform Hyperbolicity. By: Chicone, Carmen.p816
-
818, 3p;


Ключевые слова

: BOOKS
--

Reviews, NONFICTION

Reviews & Products:

DYNAMICS Beyond Uniform Hyperbolicity (Book)

People:

BONNATTI, Ch
ristian, DIAZ, Lorenzo J., VIANA, Marcelo

Abstract:

The article reviews the book "Dynamics Beyond Uniform Hyperbolicity," by Christian Bonatti,
Lorenzo J. Díaz, and Marcelo Viana.

Author Affiliations
:

1University of Missouri
--
Columbia

18.

Основы аэротермод
инамики.

Basics of Aerothermodynamics. By: Cousteix, Jean.p818
-
819, 2p;

Ключевые слова

: BOOKS
--

Reviews, THERMODYNAMICS, NONFICTION


24

Reviews & Products:

BASICS of Aerothermodynamics (Book)

People:

HIRSCHEL, Ernst
-
Heinrich

Abstract:

The article reviews the

book "Basics of Aerothermodynamics," by Ernst
-
Heinrich Hirschel.

Author Affiliations:

1ONERA, Office National d'Etudes et de Recherches Aerospatiales

19.

Цепи Маркова и инвариантные вероятности.

Markov Chains and Invariant Probabilities. By: Craven, Bruce

D.p819
-
821, 3p;


Ключевые слова

: BOOKS
--

Reviews, MARKOV processes, NONFICTION

Reviews & Products:

MARKOV Chains & Invariant Probabilities (Book)

People:

HERNANDEZ
-
Lerma, Onesimo, LASSERRE, Jean Bernard

Abstract:

The article reviews the book "Markov Ch
ain and Invariant Probabilities," by Onésimo
Hernández
-
Lerma and Jean Bernard Lasserre.

20. Математика финансовых рынков. Второе издание.


Mathematics of Financial Markets. Second Edition. By: D'Aspremont, Alexandre. p821
-
823, 3p;


Ключевые слова

: BOOKS
-
-

Reviews, SECURITIES markets, NONFICTION

Reviews & Products:

MATHEMATICS of Financial Markets (Book)

People:

KOPP, P. Ekkehard, ELLIOTT, Robert J.

Abstract:

The article reviews the book "Mathematics of Financial Markets," Second Edition, by Robert J.
Elli
ott and P. Ekkehard Kopp.

Author Affiliations
:

1Princeton University

21.

Прямой метод теории солитонов

(солитон
-

уединенная волна).


The Direct Method in Soliton Theory. By: Deconick, Bernard.p823
-
824, 2p;


Ключевые слова

: BOOKS
--

Reviews, EQUATIONS, NONFICTION

Reviews & Products:

DIRECT Method in Soliton Theory, The (Book
)

People:

HIROTA, Ryogo

Abstract:

The article reviews the book "The Direct Method in Soliton Theory," by Ryogo Hirota.

Author Affiliations:

1University of Washington

22.

Биомимикрия в оптимизации, управлении и автоматизации.

Biomimicry for Optimization, C
ontrol, and Automation. By: De Silva, Clarence W. p824
-
827, 4p, 1 chart;


Ключевые слова

: ARTIFICIAL intelligence, BOOKS
--

Reviews, NONFICTION

Reviews & Products:

BIOMIMICRY for Optimization, Control & Automation (Book)

People:

PASSINO, Kevin M.

Abstract
:

The article reviews the book "Biomimicry for Optimization, Control, and Automation," by Kevin
M. Passino.

Author Affiliations
:

1University of British Columbia

23.

Генерация случайных чисел и методы Монте
-
Карло. Второе издание.

Random Number Generation an
d Monte Carlo Methods. Second Edition. By: Dudewicz, Edward J.; Owuor,
Mary A.p827
-
828, 2p;


Ключевые слова

: BOOKS
--

Reviews, MONTE Carlo method, NONFICTION

Reviews & Products:

RANDOM Number Generation & Monte Carlo Methods (Book)

People:

GENTLE, J. E.

A
bstract:

The article reviews the book "Random Number Generation and Monte Carlo Methods," Second
Edition, by J. E. Gentle.

Author Affiliations
:

1Syracuse University

24. Применение математических методов в физике и технике с использованием системы
Mathemati
ca
.


25

Mathematical Methods in Physics and Engineering with Mathematica. By: Duffy, Dean.p828
-
828, 1p;


Ключевые слова

: BOOKS
--

Reviews, PHYSICAL sciences, NONFICTION

Reviews & Products:

MATHEMATICAL Methods in Physics & Engineering With Mathematica (Book)

People:

CAP, Ferdinand F.

Abstract:

The article reviews the book "Mathematical Methods in Physics and Engineering With
Mathematica," by Ferdinand F. Cap.

25.

Этюды по конструктивной математике.

Essays in Constructive Mathematics. By: Grove, Larry C.p828
-
8
29, 2p;


Ключевые слова

: BOOKS
--

Reviews, CONSTRUCTIVE mathematics, NONFICTION

Reviews & Products:

ESSAYS in Constructive Mathematics (Book)

People:

EDWARDS, Harold M.

Abstract:

The article reviews the book "Essays in Constructive Mathematics," by Harold

M. Edwards.

Author Affiliations
:

1University of Arizona

26.

Введение в комбинаторную оптимизацию.

A First Course in Combinatorial Optimization. By: Hayward, Ryan B.p829
-
832, 4p;


Ключевые слова

: BOOKS
--

Reviews, COMBINATORIAL optimization, NONFICTION

R
eviews & Products:

FIRST Course in Combinatorial Optimization, A (Book)

People:

LEE, Jon

Abstract:

The article reviews the book "A First Course in Combinatorial Optimization," by Jon Lee.

Author Affiliations
:

1University of Alberta

27. Математические метод
ы в экспериментах:

Правдоподобные доказательства в 21
столетии
\

Экспериментирование в математике: путем вычислений в открытию.

Mathematics by Experiment: Plausible Reasoning in the 21st Century
\
Experimentation in Mathematics:
Computational Paths to Discov
ery. By: Hersh, Reuben; Frye, Roger.p832
-
833, 2p;

Ключевые слова

: BOOKS
--

Reviews, NONFICTION

Reviews & Products:

MATHEMATICS by Experiment: Plausible Reasoning in the 21st Century (Book)

EXPERIMENTATION in Mathematics: Computational Paths to Discovery (
Book)

People:

BAILEY, David, GIRGENSOHN, Roland, BARWEIN, Jonathan

Abstract:

The article reviews two books about mathematics including "Mathematics by Experiment:
Plausible Reasoning in the 21st Century," by Jonathan Barwein and David Bailey and "Experimen
tation in
Mathematics: Computational Paths to Discovery," by Jonathan Barwein, David Bailey and Roland Girgensohn.

28.

Геодинамика литосферы.

Geodynamics of the Lithosphere. By: Ho, Joe.p833
-
836, 4p;


Ключевые слова

: BOOKS
--

Reviews, GEODYNAMICS, NONFICTION

Reviews & Products:

GEODYNAMICS of the Lithosphere (Book)

People:

STUWE, Kurt

Abstract:

The article reviews the bo
ok "Geodynamics of the Lithosphere," by Kurt Stüwe.

Author Affiliations:

1University of Washington

29.

Элементы теории массового обслуживания: вычисления Пальма Мартингейла и
стохастических рекурентностей.

Elements of Queueing Theory: Palm Martingale Calcu
lus and Stochastic Recurrences. Second Edition. By:
Knessl, Charles.p836
-
837, 2p;


Ключевые слова

: BOOKS
--

Reviews, QUEUING theory, NONFICTION

Reviews & Products:

ELEMENTS of Queueing Theory: Palm Martingale Calculus & Stochastic Recurrences
(Book)

Peopl
e:

BREMAUD, Pierre, BACCELLI, Francois


26

Abstract:

The article reviews the book "Elements of Queueing Theory: Palm Martingale Calculus and
Stochastic Recurrences," Second Edition, by Francois Baccelli and Pierre Brémaud.

Author Affiliations:

1University of I
llinois

30.

Математические методы многих тел квантовой теории поля.

Mathematical Methods of Many
-
Body Quantum Field Theory. By: Kopper, Cristoph.p837
-
838, 2p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

MATHEMATICAL Models of Many
-
Bo
dy Quantum Field Theory (Book)

People:

LEHMANN, Detlev

Abstract:

The article reviews the book "Mathematical Models of Many
-
Body Quantum Field Theory," by
Detlev Lehmann.

Author Affiliations
:

1École Polytechnique

31.

Оксфордский словарь статистических терм
инов.

The Oxford Dictionary of Statistical Terms.p839
-
840, 2p;

Ключевые слова

: BOOKS
--

Reviews, TERMS & phrases, NONFICTION

Reviews & Products:

OXFORD Dictionary of Statistical Terms, The (Book)

People:

DODGE, Yadolah

Abstract:

The article reviews the bo
ok "The Oxford Dictionary of Statistical Terms," edited by Yadolah
Dodge.

Author Affiliations
:

1University of Puget Sound

32.

Введение в современные вариационные методы, применяемые в механике и технике.

An Introduction to Modern Variational Techniques in
Mechanics and Engineering. By: McCarthy, Maeve
L.p840
-
840, 1p;


Ключевые слова

: BOOKS
--

Reviews, ENGINEERING, NONFICTION

Reviews & Products:

INTRODUCTION to Modern Variational Techniques in Mechanics & Engineering
(Book)

People:

VUJANOVIC, B. D., ATANAC
KOVIC, Teodor M.

Abstract:

The article reviews the book "An Introduction to Modern Variational Techniques in Mechanics
and Engineering," by B. D. Vujanovic and Teodor M. Atanackovic.

Author Affiliations
:

1Murray State University

33.

Прикладное стохастическ
ое управление диффузией скачка.

Applied Stochastic Control of Jump Diffusions. By: Menaldi, José
-
Luis.p840
-
841,2p;


Ключевые слова

: BOOKS
--

Reviews, STOCHASTIC analysis, NONFICTION

Reviews & Products:

APPLIED Stochastic Control of Jump Diffusions (Book)

People:

OKSENDAL, B., SULEM, A.

Abstract:

The article reviews the book "Applied Stochastic Control of Jump Diffusions," by B. Øksendal
and A. Sulem.

34.

Мастер класс Каши
-
Шварца: введение в искусство математических неравенств.

The Cauchy

Schwarz Master Cl
ass: An Introduction to the Art of Mathematical Inequalities. By: Olkin,
Ingram.p841
-
842, 2p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

CAUCHY
-
Schwarz Master Class: An Introduction to the Art of Mathematical
Inequalitie
s (Book)

People:

STEELE, J. Michael

Abstract:

The article reviews the book "The Cauchy
-
Schwarz Master Class: An Introduction to the Art of
Mathematical Inequalities," by J. Michael Steele.

Author Affiliations
:

1Stanford University


27

35.

Методы малой вязкости

и граничного слоя: теория, анализ устойчивости и применения.

Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications. By: O'Malley Jr.,
Robert E.p843
-
843, 1p;


Ключевые слова

: BOOKS
--

Review, VISCOSITY solutions, NONFIC
TION

Reviews & Products:

SMALL Viscosity & Boundary Layer Methods: Theory, Stability Analysis &
Applications (Book)

People:

METIVIER, Guy

Abstract:

The article reviews the book "Small Viscosity and Boundary Layer Methods: Theory, Stability
Analysis, and Ap
plications," by Guy Métivier.

Author Affiliations
:

1University of Washington

36.

Молекулярное моделирование и имитационные модели: междисциплинарное руководство
.

Molecular Modeling and Simulation: An Interdisciplinary Guide. By: Hong Qian.p843
-
845, 3p;


Ключевые слова

: BOOKS
--

Reviews, MOLECULES
--

Models, NONFICTION

Reviews & Produ
cts:

MOLECULAR Modeling & Simulation: An Interdisciplinary Guide (Book)

People:

SCHLICK, Tamar

Abstract:

The article reviews the book "Molecular Modeling and Simulation: An Interdisciplinary Guide,"
by Tamar Schlick.

Author Affiliations
:

1University of Was
hington

37.

Динамика заряженных частиц и их радиационное поле.

Dynamics of Charged Particles and Their Radiation Field. By: Rendall, Alan.p845
-
846, 2p;


Ключевые слова

: BOOKS
--

Reviews, RADIATION, NONFICTION

Reviews & Products:

DYNAMICS of Charged Particles & Their
Radiation Field (Book)

People:

SPOHN, Herbert

Abstract:

The article reviews the book "Dynamics of Charged Particles and Their Radiation Field," By
Herbert Spohn.

Author Affiliations
:

1Max
-
Planck
-
Institut für Gravitationsphysik

38.

Средства исследования реа
льных чисел.

Resources for the Study of Real Analysis. By: Roy, Ranjan.p846
-
848, 3p;


Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

RESOURCES for the Study of Real Analysis (Book)

People:

BRABENEC, Robert L.

Abstract:

The a
rticle reviews the book "Resources for the Study of Real Analysis," by Robert L. Brabenec.

Author Affiliations
:

1Beloit College

39.

Гномы в тумане.

Gnomes in the Fog. By: Segal, Sanford L.p848
-
850, 3p;

Ключевые слова

: BOOKS
--

Reviews, GNOMES, NONFICTION

Reviews & Products:

GNOMES in the Fog (Book)

People:

HESSELING, Dennis

Abstract:

The article reviews the book "Gnomes in the Fog," by Dennis Hesseling.

Author Affiliations
:

1University of Rochester

40.

Прикладная линейная регрессия. Третье издание.

Applied

Linear Regression. Third Edition. By: Simonoff, Jeffrey S.p850
-
853, 4p;

Ключевые слова

: BOOKS
--

Reviews, REGRESSION analysis, NONFICTION

Reviews & Products:

APPLIED Linear Regression (Book)

People:

WEISBERG, Sanford


28

Abstract:

The article reviews the bo
ok "Applied Linear Regression," Third Edition by Sanford Weisberg.

Author Affiliations
:

1New York University

41.

Теория конечных групп: введение.

The Theory of Finite Groups: An Introduction. By: Solomon, Ronald. p853
-
855, 3p;

Ключевые слова

: BOOKS
--

Reviews, MATHEMATICS, NONFICTION

Reviews & Products:

THEORY of Finite Groups: An Introduction (Book)

People:

KURZWEIL, Hans, STELLMACHER, B.

Abstract:

The article reviews the book "The Theory of Finite Groups: An Introduction," by Hans Kurzweil
and B. Stel
lmacher.

Author Affiliations
:

1Ohio State University

42.

Контроллеры пропорционально
-
интегрально
-
дифференциальное регулирования [ПИД
-
]
для систем задержки времени.

PID Controllers for Time
-
Delay Systems. By: Qing
-
Guo Wang.p855
-
856, 2p;

Ключевые слова

: BOOKS
--

Reviews, PID controllers, NONFICTION

Reviews & Prod
ucts:

PID Controllers for Time
-
Delay Systems (Book)

People:

BHATTACHARYYA, S. P., SILVA, G. J, DATTA, A.

Abstract:

The article reviews the book "PID Controllers for Time
-
Delay Systems," by G. J. Silva, A. Datta,
and S. P. Bhattacharyya.

Author Affiliations
:

1National University of Singapore

43.

Анализ категорийных данных.

Analyzing Categorical Data. By: Weisberg, Sanford.p856
-
858, 3p;


Ключевые слова

: BOOKS
--

Reviews, STATISTICS, NONFICTION

Reviews & Products:

ANALYZING Categorical Data (Book)

People:

SIMONOFF, Jeffrey S.

Abstract:

The article
reviews the book "Analyzing Categorical Data," by Jeffrey S. Simonoff.

Author Affiliations:

1University of Minnesota