Representation and Control of Infinite Dimensional Systems
Description
This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.
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Content
Preface to the Second Edition
Preface to Volume I of the First Edition
Preface to Volume II of the First Edition
List of Figures
Introduction
Part I. Finite Dimensional Linear Control of Dynamical Systems
Control of Linear Finite Dimensional Differential Systems
Linear Quadratic Two-Person Zero-Sum Differential Games
Part II. Representation of Infinite Dimensional Linear Control Dynamical Systems
Semi-groups of Operators and Interpolation
Variational Theory of Parabolic Systems
Semi-group Methods for Systems with Unbounded Control and Observation Operators
Differential Systems with Delays
Part III. Qualitative Properties of Linear Control Dynamical Systems
Controllability and Observability for a Class of Infinite Dimensional Systems
Part IV. Quadratic Optimal Control: Finite Time Horizon
Systems with Bounded Control Operators: Control Inside the Domain
Systems with Unbounded Control Operators: Parabolic Equations with Control on the Boundary
Systems with Unbounded Control Operators: Hyperbolic Equations with Control on the Boundary
Part V. Quadratic Optimal Control: Infinite Time Horizon
Systems with Bounded Control Operators: Control Inside the Domain
Systems with Unbounded Control Operators: Parabolic Equations with Control on the Boundary
Systems with Unbounded Control Operators: Hyperbolic Equations with Control on the Boundary
Appendix A. An Isomorphism Result
References
Index