A Core Theory of Delay Systems

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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https://hal.archives-ouvertes.fr/hal-01575285
Contributor : Sébastien Boisgérault <>
Submitted on : Friday, August 18, 2017 - 4:25:56 PM
Last modification on : Wednesday, March 20, 2019 - 6:16:04 PM

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  • HAL Id : hal-01575285, version 1
  • ARXIV : 1707.02558

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Sébastien Boisgérault. A Core Theory of Delay Systems. 2017. 〈hal-01575285〉

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