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, including engineering, mathematics, biology, and economics. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors organize and develop material, which has been scattered in journals and conference proceedings thus far. Special emphasis is placed on stability criteria which can be computationally implemented. The book will be accessible to a diverse audience of applied mathematicians, engineers, and students.

Preface, Notations 1.Introduction to Time-Delay Systems I.Frequency-Domain Approach 2.Systems with Commensurate Delays 3.Systems withIncommensurate Delays 4.Robust Stability Analysis II.Time Domain Approach 5.Systems with Single Delay 6.Robust Stability Analysis 7.Systems with Multiple and Distributed Delays III.Input-Output Approach 8.Input-output stability A.Matrix Facts B.LMI and Quadratic Integral Inequalities Bibliography Index