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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...

This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.

For both their theoretical and practical impact, time-delay systems have been an enduring theme in the study of differential equations, stochastic processes, game theory, and systems theory. The subject has broad applications to a number of areas, including mechanical, electrical and chemical engineering, mathematics, biology, and economics.

This book is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors...