Stability analysis of switched homogeneous ...
Document type :
Compte-rendu et recension critique d'ouvrage
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]
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
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 >
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
Popular science :
Non
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