Time-Delay Systems: Lyapunov Functionals and Matrices

by Vladimir Kharitonov

Overview

Stability is one of the most studied issues in the theory of time-delay systems, however the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems.​

Time-Delay Systems: Lyapunov Functionals and Matrices​ will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design.​

Product Details

ISBN-13:	9780817683665
Publisher:	Birkhäuser Boston
Publication date:	09/18/2012
Series:	Control Engineering
Edition description:	2013
Pages:	311
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

About the Author

The author has previously published with Birkhauser: "Stability of Time-Delay Systems," 978-0-8176-4212-9 (a well-reviewed and successful monograph/textbook in the Control Engineering series).

Table of Contents

Preface.- Notations and Symbols.- Part I: Delay Type Systems.- 1 General Theory. 2 Single Delay Case.- 3 Multiple Delay Case.- 4 Systems with Distributed Delay.- Part II: Neutral Type Systems.- 5 General Theory.-     6 Linear Systems.- 7 Distributed Delay Case.- References.- Subject Index.

Editorial Reviews

From the reviews:

“Chapters 1 and 2 collect elementary material on linear DDEs, and the author suggests that these chapters can be used as teaching support for an introductory course on time-delay systems. Part of the remaining chapters can be used for more advanced courses, and researchers in DDEs and time-delay control systems will certainly find this book very useful as a reference work, as well as a timely complement to the existing technical literature.” (Didier Henrion, zbMATH, Vol. 1285, 2014)

“This book will be very interesting to researchers working on systems described by retarded functional differential equations, and particularly those who work on the control theory of linear time-delay systems. It is a very well-written book which studies an important problem for linear time-delay systems, namely, the problem of the construction of a Lyapunov functional.” (Iasson Karafyllis, Mathematical Reviews, August, 2013)

From the Publisher