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E-book

Title Representation and control of infinite dimensional systems / Alain Bensoussan [and others]
Edition 2nd ed
Published Boston : Birkhäuser, ©2007

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Description 1 online resource (xxvi, 575 pages) : illustrations
Series Systems & control : foundations & applications
Systems & control.
Contents pt. I. Finite dimensional linear control dynamical systems -- 1. Control of linear differential systems -- 2. Linear quadratic two-person zero-sum differential games -- pt. II. Representation of infinite dimensional linear control dynamical systems -- 1. Semigroups of operators and interpolation -- 2. Variational theory of parabolic systems -- 3. Semigroup methods for systems with unbounded control and observation operators -- 4. State space theory of differential systems with delays -- pt. III. Qualitative properties of infinite dimensional linear control dynamical systems -- 1. Controllability and observability for a class of infinite dimensional systems -- pt. IV. Quadratic optimal control : finite time horizon -- 1. Bounded control operators : control inside the domain -- 2. Unbounded control operators : parabolic equations with control on the boundary -- 3. Unbounded control operators : hyperbolic equations with control on the boundary -- pt. V. Quadratic optimal control : infinite time horizon -- 1. Bounded control operators : control inside the domain -- 2. Unbounded control operators : parabolic equations with control on the boundary -- 3. Unbounded control operators : hyperbolic equations with control on the boundary -- A. An isomorphism result
Summary "The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. ... Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered"--Page 4 of cover
Notes "Completely revised and corrected second editio in a single ... volume"--Preface
Bibliography Includes bibliographical references (pages 541-568) and index
Notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
Print version record
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Subject Control theory.
Mathematical optimization.
TECHNOLOGY & ENGINEERING -- Automation.
TECHNOLOGY & ENGINEERING -- Robotics.
Control theory
Mathematical optimization
Unendlichdimensionales System -- Lineare Differentialgleichung -- Optimale Kontrolle.
Lineare Differentialgleichung -- Unendlichdimensionales System -- Optimale Kontrolle.
Optimale Kontrolle -- Lineare Differentialgleichung -- Unendlichdimensionales System.
Form Electronic book
Author Bensoussan, Alain
ISBN 9780817645816
0817645810
9780817644611
081764461X
9786610816675
6610816670