Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability

Efimov, Denis; Polyakov, Andrey; Perruquetti, Wilfrid; Richard, Jean-Pierre

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1109/TAC.2015.2427671

Titre :

Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability

Auteur(s) :

Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Polyakov, Andrey [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Richard, Jean-Pierre [Auteur]

Non-Asymptotic estimation for online systems [NON-A]

Titre de la revue :

IEEE Transactions on Automatic Control

Pagination :

210-215

Éditeur :

Institute of Electrical and Electronics Engineers

Date de publication :

2016-01

ISSN :

0018-9286

Discipline(s) HAL :

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

Résumé en anglais : [en]

Global delay independent stability is analyzed for nonlinear time-delay systems by applying homogeneity theory. It is shown that finite-time stability can be encountered in this class of systems under uniformity of the ...
Lire la suite >Global delay independent stability is analyzed for nonlinear time-delay systems by applying homogeneity theory. It is shown that finite-time stability can be encountered in this class of systems under uniformity of the convergence time with respect to delay. Some additional tools for stability analysis of time-delay systems using homogeneity are also presented: in particular, it is shown that if a time-delay system is homogeneous with nonzero degree and it is globally asymptotically stable for some delay, then this property is preserved for any delay value, which is known as the independent of delay (IOD) stability.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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