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Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.
List of contents
Stability and robust stability of time-delay systems: A guided tour.- Convex directions for stable polynomials and quasipolynomials: A survey of recent results.- Delay-independent stability of linear neutral systems: A riccati equation approach.- Robust stability and stabilization of time-delay systems via integral quadratic constraint approach.- Graphical test for robust stability with distributed delayed feedback.- Numerics of the stability exponent and eigenvalue abscissas of a matrix delay system.- Moving averages for periodic delay differential and difference equations.- On rational stabilizing controllers for interval delay systems.- Stabilization of linear and nonlinear systems with time delay.- Nonlinear delay systems: Tools for a quantitative approach to stabilization.- Output feedback stabilization of linear time-delay systems.- Robust control of systems with a single input lag.- Robust guaranteed cost control for uncertain linear time-delay systems.- Local stabilization of continuous-time delay systems with bounded inputs.
