# Representation and Control of Infinite Dimensional Systems

###### Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, and Sanjoy K. Mitter
Publisher:
Birkhäuser
Publication Date:
2007
Number of Pages:
575
Format:
Hardcover
Edition:
2
Series:
Systems and Controls: Foundations and Applications
Price:
89.95
ISBN:
081764461X
Category:
Monograph
We do not plan to review this book.

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