This book offers a systematic treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems. It includes various applications of the complete type functionals.

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.

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

Autorentext
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).

Inhalt
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.