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A Core Theory of Delay Systems

Sébastien Boisgérault


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



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