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Time-Delay Systems Vladimir Kharitonov

Time-Delay Systems By Vladimir Kharitonov

Time-Delay Systems by Vladimir Kharitonov


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Summary

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.

Time-Delay Systems Summary

Time-Delay Systems: Lyapunov Functionals and Matrices by Vladimir Kharitonov

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 ofclassical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with asystematic and exhaustivetreatment 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.

Time-Delay Systems 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)

About Vladimir Kharitonov

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

Additional information

NPB9780817683665
9780817683665
0817683666
Time-Delay Systems: Lyapunov Functionals and Matrices by Vladimir Kharitonov
New
Hardback
Birkhauser Boston Inc
2012-09-18
311
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Time-Delay Systems