Deterministic Time Delay Systems

Abstract

It is clear from the examples given previously that the the investigation of the class of dynamical time delay systems is of great importance in dealing with the world economy. It is why much attention has been paid to this class of systems by many researchers from different communities. During recent decades, the control community has contributed to many problems of this class of systems. Part I focuses on this class of systems and gives a summary of what has been done in the area. It addresses mainly the problems of stability and stabilizability of the class of linear systems with time delay. It also deals with the robustness of stability and stabilizability when uncertainties are assumed to be of the norm-bounded type. Memoryless and memory state feedback controllers and output feedback controllers are used to stabilize dynamical time delay systems and to ensure the desired performance.