Stability of Time-Delay Systems

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 develop material, which up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented. Features and Topics: * Systematic and comprehensive coverage of robust stability for time-delay systems, including time-domain and frequency-domain approaches * Stability criteria formulated using linear matrix inequalities (LMI), providing a powerful toolbox for practicing engineers * Strong stability conditions developed to provide a solid basis for design of feedback control and filtering * Balance of intuition and rigor, stressing concepts rather than technical details * Emphasis on comparisons and connections among various approaches * Mathematical prerequisites integrated within each chapter, with more elementary material covered in two appendices Requiring only basic knowledge of linear systems and Lyapunov stability theory, Stability of Time-Delay Systems will be accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.