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

Time-Delay Systems: Lyapunov Functionals and Matrices: Control Engineering

Autor Vladimir Kharitonov
en Limba Engleză Hardback – 18 sep 2012
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.​
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Specificații

ISBN-13: 9780817683665
ISBN-10: 0817683666
Pagini: 311
Ilustrații: XVI, 311 p. 4 illus.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.64 kg
Ediția:2013
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Control Engineering

Locul publicării:Boston, MA, United States

Public țintă

Research

Cuprins

​​​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.

Recenzii

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)

Notă biografică

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).

Textul de pe ultima copertă

Stability is one of the most studied issues in the theory of time-delay systems, but 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.​
The book is organized into two parts. The first part is dedicated to the case of retarded type time-delay systems; it consists of four chapters, which respectively deal with results concerning the existence and uniqueness of the solutions of an initial value problem, the class of linear systems with one delay, the case of systems with several delays, and the case of systems with distributed delays. The second part of the book studies the case of neutral type time-delay systems, containing three chapters that extend the results presented earlier in the book to neutral time-delay systems and treating special classes 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.​

Caracteristici

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