Geometric vs. algebraic approach: A study of double imaginary characteristic roots in time-delay systems - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2017

Geometric vs. algebraic approach: A study of double imaginary characteristic roots in time-delay systems

Résumé

This paper studies double imaginary characteristic roots in the case of time-delay systems with two delays as parameters. We aim to identify the direction in which double roots cross the imaginary axis, when the delay parameters change. To determine what happens when parameters are under a small perturbation, we present two methods: the algebraic and geometric approaches. Taking a theoretical example, we show that, even if the two methods are conceptually different, the provided results are consistent.
Fichier principal
Vignette du fichier
ifacconf.pdf (372.92 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01815469 , version 1 (14-06-2018)

Identifiants

Citer

Dina Irofti, Islam Boussaada, Silviu-Iulian Niculescu. Geometric vs. algebraic approach: A study of double imaginary characteristic roots in time-delay systems. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. pp.1310 - 1315, ⟨10.1016/j.ifacol.2017.08.123⟩. ⟨hal-01815469⟩
78 Consultations
185 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More