Representation and Control of Infinite Dimensional Systems

• I Qualitative Properties of Linear Dynamical Systems.- 1 Control of Linear Finite Dimensional Differential Systems Revisited.- 2 Controllability and Observability for a Class of Infinite Dimensional Systems.- References to Part I.- II Quadratic Optimal Control: Finite Time Horizon.- 1 Systems with Bounded Control Operators: Control Inside the Domain.- 2 Systems with Unbounded Control Operators: Parabolic Equations with Control on the Boundary.- 3 Systems with Unbounded Control Operators: Hyperbolic Equations with Control on the Boundary.- References to Part II.- III Quadratic Optimal Control: Infinite Time Horizon.- 1 Systems with Bounded Control Operators: Control Inside the Domain.- 2 Systems with Unbounded Control Operators: Parabolic Equations with Control on the Boundary.- 3 Systems with Unbounded Control Operators: Hyperbolic Equations with Control on the Boundary.- References to Part III.- Appendix A.- An Isomorphism Result.- Index to Volume II.- Corrections to Volume I.

"This book will undoubtedly prove [to be] a very valuable text to researchers familiar with finite-dimensional control theory and methods of functional analysis/semigroup theory who are interested in learning more about PDE systems and their control. This task is greatly facilitated by exploiting analogies with finite-dimensional theory and relying for the most part on operator/semigroup methods, thus reducing to a minimum the necessity of PDE background. The book presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." -Mathematical Reviews (Review of Volume II of the First Edition) "We state at the outset that this book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution. ...Many readers will appreciate the concise exposition... The book makes a worthwhile effort to be accessible and relatively self-contained. [It] should prove to be a valuable source for mathematicians who want to learn more about aspects of deterministic control theory as well as theoretical engineers willing to learn the mathematical tools necessary to give precise formulations and solutions to problems arising from applications." -Mathematical Reviews (Review of Volume I of the First Edition) "This is a book which people in the field have been waiting for since the late seventies... The difference [in this book] lies in the scope of the classes of systems which are covered, which is much wider than that covered in earlier texts... This book is a welcome addition to the literature. It presents a unified, up-to-date treatment of the main approaches to the representation of partial and differential delay systems... The book is recommended both as an advanced graduate text for mathematicians and as a valuable reference guide to the literature." -Journal of Mathematical Systems, Estimation, and Control (Review of Volume I of the First Edition)