A Core Theory of Delay Systems

Sébastien Boisgérault (1)

1 CAOR - Centre de Robotique

We introduce a framework for the description of a large class of delay-differential algebraic systems, in which we study three core problems: first we characterize abstractly the well-posedness of the initial-value problem, then we design a practical test for well-posedness based on a graph-theoretic representation of the system; finally, we provide a general stability criterion. We apply each of these results to a structure that commonly arises in the control of delay systems.

Mots clés: delay systems; delay-differential algebraic equations; DDAE

Domaines: Systèmes dynamiques [math.DS]

Sébastien Boisgérault. A Core Theory of Delay Systems. 2017. ⟨hal-01575285⟩