Title :

On finite-time stability analysis of homogeneous vector fields with multiplicative perturbations

Author(s) :

Braidiz, Youness [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Journal title :

International Journal of Robust and Nonlinear Control

Publisher :

Wiley

Publication date :

2022-08-09

ISSN :

1049-8923

English keyword(s) :

Homogeneous extension
asymptotic stability
finite-time stability
fixed-time stability

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

The problem of finite-time and fixed-time stability analysis is considered for a class of nonlinear systems dx/dt = H(x)b(x), where H is homogeneous of a nonnegative degree and b is bounded. It is shown that under certain ...
Show more >The problem of finite-time and fixed-time stability analysis is considered for a class of nonlinear systems dx/dt = H(x)b(x), where H is homogeneous of a nonnegative degree and b is bounded. It is shown that under certain conditions on b the asymptotic stability of the system implies its finite-time stability or nearly fixed-time stability. The so-called homogeneous extensions are utilized for the analysis. The results are generalized to a class of systems. An example of a mechanical system is presented in the last section to illustrate the obtained results.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Commande et estimation en temps fini pour les Systèmes de Systèmes

Collections :

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

Source :

Harvested from HAL