Time-Delay Systems: Lyapunov Functionals and Matrices

Vladimir Kharitonov

09/2012 · Springer Science & Business Media

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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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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).