Title :

Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation

Author(s) :

Aleksandrov, Alexander [Auteur]
Saint Petersburg State University [SPBU]
Efimov, Denis [Auteur]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Finite-time control and estimation for distributed systems [VALSE]

Journal title :

Nonlinear Analysis: Hybrid Systems

Publisher :

Elsevier

Publication date :

2021-11

ISSN :

1751-570X

English keyword(s) :

Switched systems
Time-delay systems
Homogeneous systems
Lyapunov-Krasovskii approach
Lyapunov-Razumikhin approach

HAL domain(s) :

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

English abstract : [en]

In this work, stability analysis for a class of switched nonlinear time-delay systems is performed by applying Lyapunov-Krasovskii and Lyapunov-Razumikhin approaches. It is assumed that each subsystem in the family is ...
Show more >In this work, stability analysis for a class of switched nonlinear time-delay systems is performed by applying Lyapunov-Krasovskii and Lyapunov-Razumikhin approaches. It is assumed that each subsystem in the family is homogeneous (of positive or negative degree) and asymptotically stable in the delay-free setting. The cases of existence of a common or multiple Lyapunov-Krasovskii functionals and a common Lyapunov-Razumikhin function are explored. The scenarios with synchronous and asynchronous switching are considered, and it is demonstrated that depending on the kind of commutation, one of the frameworks for stability analysis outperforms another, but finally leading to similar restrictions for both types of switching (despite the asynchronous one seems to be more demanded). The obtained results are applied to mechanical systems having restoring forces with real-valued powers.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