A Core Theory of Delay Systems - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

A Core Theory of Delay Systems

Sébastien Boisgérault

Abstract

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.
Fichier principal
Vignette du fichier
A Core Theory of Delay Systems.pdf (166 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01575285 , version 1 (18-08-2017)

Identifiers

Cite

Sébastien Boisgérault. A Core Theory of Delay Systems. 2017. ⟨hal-01575285⟩
314 View
60 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More