On the Weierstrass preparation theorem with applications to the asymptotic analysis of characteristics roots of time-delay systems

Abstract : This paper proposes an algorithmic approach to construct the Weierstrass Polynomial associated to the multiple characteristic roots of a time-delay system. Such a Weierstrass polynomial is employed as a tool to analize the stability behaviour of the characteristic roots with respect to small variations on the delay parameter. The proposed results are illustrated by considering several numerical examples encountered in the control literature.
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Submitted on : Tuesday, March 8, 2016 - 11:19:35 AM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM

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  • HAL Id : hal-01284883, version 1

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César Fernando Méndez Barrios, Silviu-Iulian Niculescu, J. Chen. On the Weierstrass preparation theorem with applications to the asymptotic analysis of characteristics roots of time-delay systems. 12th IFAC Workshop on Time Delay Systems TDS 2015, Jun 2015, Ann Arbor, United States. pp.251-256. ⟨hal-01284883⟩

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