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 twoperson zerosum 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 541568) 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 
