Stability of Time-Delay Systems / Edition 1

by Keqin Gu, Jie Chen, Vladimir L. Kharitonov

Overview

This monograph is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors developed material which, up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented.

The second edition is major update to reflect the state of art in this field greatly expanding on the original material in addition to two new chapters on Systems of Neutral Type and an Introduction to Frequency Domain Method.

Requiring only basic knowledge of linear systems and Lyapunov stability theory, Stability of Time-Delay Systems, 2^nd ed is accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.

Product Details

ISBN-13:	9780817642129
Publisher:	Birkhäuser Boston
Publication date:	06/26/2003
Series:	Control Engineering
Edition description:	2003
Pages:	356
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Preface.- Notation.- 1 Introduction to Time-Delay Systems.- 2 Systems with Commensurate Delays.- 3 Systems with Incommensurate Delays.- 4 Robust Stability Analysis.- 5 Systems with Single Delay.- 6 Robust Stability Analysis.- 7 Systems with Multiple and Distributed Delays.- 8 Input-Output Stability.- A Matrix Facts.- B Linear Matrix Inequalities and Quadratic Integral Inequalities.

Editorial Reviews

"The last 10-15 years have witnessed a renewed interest in time-delay control systems because of new problems, new models, and new techniques. This book has many useful features that complement the prior literature.... The reader can find useful information about software implementation and computational complexity.... The authors are experts in the field, and they relate their own experience. The book can be useful to engineers, applied mathematicians, and graduate students."

—IEEE Control Systems Magazine

"This book is written by famous scientists in the area of time-delay systems. It presents a systematic treatment of the theory of such systems and their stability. It is devoted to the study of the stability of time-delay systems, an area long pursued by mathematicians, physical and life scientists, engineers, and economists.... The book is well written and contains a number of examples."

—Zentralblatt Math

From the Publisher