Mathematical Control Theory: An Introduction (Systems & Control: Foundations & Applications)

Zabczyk, Jerzy

ISBN 10: 0817636455 / ISBN 13: 9780817636456

Published by Birkhäuser Boston, 1992

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Bibliographic Details

Title: Mathematical Control Theory: An Introduction...

Publisher: Birkhäuser Boston

Publication Date: 1992

Binding: Hardcover

Condition: Good

About this title

Synopsis:

Mathematical control theory is a separate branch of mathematics that has, over a span of 150 years, developed an extensive literature covering its various ideas and applications. This text presents basic concepts and results in the field. It requires only a knowledge of basic facts from linear algebra, differential equations and calculus, with a few more concepts required for the final part of the book. In addition to classical concepts and ideas, the book presents many recently published results. It explains impulsive control, positive systems, stabilization of nonlinear systems, control of rigid bodies, stabilization of infinite dimensional systems and the minimum energy problem. The book should be useful for a beginning graduate course in mathematical control theory or for self study by professionals needing a complete picture of the mathematics that underly the applications of control theory.

Review:

"This book is designed as a graduate text on the mathematical theory of deterministic control. It covers a remarkable number of topics... The book includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems?subjects not usually covered in an 'introductory' book... To get so much material in such a short space, the pace of the presentation is brisk. However, the exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given... The book is an excellent one for introducing a mathematician to control theory. The book presents a large amount of material very well, and its use is highly recommended." ?Bulletin of the AMS "The book is very well written from a mathematical point of view of control theory. The author deserves much credit for bringing out such a book which is a useful and welcome addition to books on the mathematics of control theory." ?Control Theory and Advance Technology "At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone." ?Gian-Carlo Rota, The Bulletin of Mathematics Books