State Space Theory of Differential Systems With Delays.

In this chapter our objective is to present a modern approach that provides a unifying framework for a large family of differential and integro-differential systems with delays. This point of view is of paramount importance for the Control Theory, Filtering Theory, and Realization Theory of such systems. The material presented in this chapter is an outgrowth of the lecture notes in French presented at the INRIA School on Representation and Control of Delay Systems in June 1984 by M. C. DPELFOUR [14]. The original material has been restructured, the proofs have been streamlined, and new results have been introduced in §6. [ABSTRACT FROM AUTHOR]