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

Type de document :

Communication dans un congrès

12th IFAC Workshop on Time Delay Systems TDS 2015, Jun 2015, Ann Arbor, United States. pp.251-256, 2015, Proceedings of the 12th IFAC Workshop on Time-Delay Systems

Domaine :

Informatique [cs] / Automatique

Sciences de l'ingénieur [physics] / Automatique / Robotique

Liste complète des métadonnées

https://hal-centralesupelec.archives-ouvertes.fr/hal-01284883
Contributeur : Myriam Baverel <>
Soumis le : mardi 8 mars 2016 - 11:19:35
Dernière modification le : jeudi 26 avril 2018 - 15:36:46

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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