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Mathematical theory of control systems design

Author: V N Afanasiev; Vladimir Borisovich Kolmanovskiĭ; V R Nosov
Publisher: Dordrecht ; Boston : Kluwer Academic, ©1996.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 341.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This volume deals with many interesting topics in the field of control theory and its applications. It is divided into an Introduction and four parts. Each chapter concludes with a short overview of the main results and formulas, and each part ends with an exercise section. Part One treats the fundamentals of modern stability theory, while Part Two is devoted to the optimal control of deterministic systems. Part
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Additional Physical Format: Online version:
Afanasiev, V.N. (Valerii Nikolaevich).
Mathematical theory of control systems design.
Dordrecht ; Boston : Kluwer Academic, ©1996
(OCoLC)605378856
Online version:
Afanasiev, V.N. (Valerii Nikolaevich).
Mathematical theory of control systems design.
Dordrecht ; Boston : Kluwer Academic, ©1996
(OCoLC)609308302
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V N Afanasiev; Vladimir Borisovich Kolmanovskiĭ; V R Nosov
ISBN: 0792337247 9780792337249
OCLC Number: 32970234
Description: xxiii, 668 pages : illustrations ; 25 cm.
Contents: Ch. I. Continuous and Discrete Deterministic Systems --
Ch. II. Stability of Stochastic Systems --
Ch. III. Description of Control Problems --
Ch. IV. The Classical Calculus of Variations and Optimal Control --
Ch. V. The Maximum Principle --
Ch. VI. Linear Control Systems --
Ch. VII. Dynamic Programming Approach. Sufficient Conditions for Optimal Control --
Ch. VIII. Some Additional Topics of Optimal Control Theory --
Ch. IX. Control of Stochastic Systems. Problem Statements and Investigation Techniques --
Ch. X. Optimal Control on a Time Interval of Random Duration --
Ch. XI. Optimal Estimation of the State of the System --
Ch. XII. Optimal Control of the Observation Process --
Ch. XIII. Linear Time-Invariant Control Systems --
Ch. XIV. Numerical Methods for the Investigation of Nonlinear Control Systems --
Ch. XV. Numerical Design of Optimal Control Systems.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 341.
Responsibility: by V.N. Afanasiev, V.B. Kolmanovskii, and V.R. Nosov.
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Abstract:

Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for  Read more...

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