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

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

César Fernando Méndez Barrios Silviu-Iulian Niculescu ^{1, 2} J. Chen

L2S - Laboratoire des signaux et systèmes : 1289

2 L2S - Laboratoire des signaux et systèmes

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.

Keywords : 10.1016/j.ifacol.2015.09.386

Document type :

Conference papers

Domain :

Computer Science [cs] / Automatic Control Engineering

Engineering Sciences [physics] / Automatic

Complete list of metadatas

https://hal-centralesupelec.archives-ouvertes.fr/hal-01284883
Contributor : Myriam Baverel <>
Submitted on : Tuesday, March 8, 2016 - 11:19:35 AM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM

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

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

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