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arXiv · 1707.02558

A Core Theory of Delay Systems

Sébastien Boisgérault
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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.

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Sébastien Boisgérault. 2017-07-09. A Core Theory of Delay Systems. https://arxiv.org/abs/1707.02558

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