A Core Theory of Delay Systems
Dynamical Systems
2017-07-11 v1
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.
Cite
@article{arxiv.1707.02558,
title = {A Core Theory of Delay Systems},
author = {Sébastien Boisgérault},
journal= {arXiv preprint arXiv:1707.02558},
year = {2017}
}