Stability of Time-Delay Systems

This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas, including engineering, mathematics, biology, and economics. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors organize and develop material, which has been scattered in journals and conference proceedings thus far. Special emphasis is placed on stability criteria which can be computationally implemented. The book will be accessible to a diverse audience of applied mathematicians, engineers, and students.

"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

Contenu
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.