Control Engineering

Time-Delay Systems

Lyapunov Functionals and Matrices

Authors: Kharitonov, Vladimir

  • 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
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eBook $99.00
price for USA (gross)
  • ISBN 978-0-8176-8367-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-8176-8366-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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.​

About the authors

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).

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)

Table of contents (7 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-0-8176-8367-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-8176-8366-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Time-Delay Systems
Book Subtitle
Lyapunov Functionals and Matrices
Authors
Series Title
Control Engineering
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8367-2
DOI
10.1007/978-0-8176-8367-2
Hardcover ISBN
978-0-8176-8366-5
Series ISSN
2373-7719
Edition Number
1
Number of Pages
XVI, 311
Number of Illustrations and Tables
4 b/w illustrations
Topics