Title :

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

Author(s) :

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

Conference title :

IFAC 2020 - 21rst IFAC World Congress

City :

Berlin

Country :

Allemagne

Start date of the conference :

2020-07-13

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.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