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

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

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1109/TAC.2015.2427671

Title :

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

Author(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]

Journal title :

IEEE Transactions on Automatic Control

Pages :

210-215

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2016-01

ISSN :

0018-9286

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

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

Source :

Harvested from HAL

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