Titre :

Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach

Auteur(s) :

Mendoza-Avila, Jesús [Auteur]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Moreno, Jaime [Auteur]
Fridman, Leonid [Auteur]

Titre de la manifestation scientifique :

IFAC 2020 - 21rst IFAC World Congress

Ville :

Berlin

Pays :

Allemagne

Date de début de la manifestation scientifique :

2020-07-13

Mot(s)-clé(s) en anglais :

Stability of Nonlinear Systems
Singular Perturbations
Input-to-State Stability
Homogeneity
Lyapunov Methods

Discipline(s) HAL :

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

Résumé en anglais : [en]

In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard ...
Lire la suite >In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the conditions of local or practical asymptotic stability of the interconnection are established by means of ISS properties and the Small-Gain Theorem. Moreover, the domains of stability and attractions are estimated. Finally, the results are illustrated through an example with a homogeneous system of negative degree.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