Overview
- First book to comprehensively study a counterpart of classical Lyapunov theory for linear delay free systems
- Provides a comprehensive study of Lyapunov matrices for time-delay systems, including existence and computation issues
- Includes various applications of the complete type functionals
- May be used as a supplemental text for graduate courses in automatic control
- Includes supplementary material: sn.pub/extras
Part of the book series: Control Engineering (CONTRENGIN)
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Table of contents (7 chapters)
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Front Matter
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Retarded Type Systems
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Front Matter
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Delay Type Systems
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Neutral Type Systems
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Front Matter
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Back Matter
Keywords
About this book
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.​
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)Authors and Affiliations
About the author
Bibliographic Information
Book Title: Time-Delay Systems
Book Subtitle: Lyapunov Functionals and Matrices
Authors: Vladimir L. Kharitonov
Series Title: Control Engineering
DOI: https://doi.org/10.1007/978-0-8176-8367-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media, LLC 2013
Hardcover ISBN: 978-0-8176-8366-5Published: 18 September 2012
eBook ISBN: 978-0-8176-8367-2Published: 18 September 2012
Series ISSN: 2373-7719
Series E-ISSN: 2373-7727
Edition Number: 1
Number of Pages: XVI, 311
Number of Illustrations: 4 b/w illustrations
Topics: Control and Systems Theory, Systems Theory, Control, Dynamical Systems and Ergodic Theory, Computational Intelligence, Mathematical and Computational Engineering, Applications of Mathematics