Converse Lyapunov-Krasovskii theorem for ...
Document type :
Article dans une revue scientifique: Article original
Title :
Converse Lyapunov-Krasovskii theorem for ISS of neutral systems in Sobolev spaces
Author(s) :
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Fridman, Emilia [Auteur]
Department of Electrical Engineering

Finite-time control and estimation for distributed systems [VALSE]
Fridman, Emilia [Auteur]
Department of Electrical Engineering
Journal title :
Automatica
Publisher :
Elsevier
Publication date :
2020
ISSN :
0005-1098
English keyword(s) :
Neutral time-delay systems
Lyapunov-Krasovskii functional
Stabilty
Lyapunov-Krasovskii functional
Stabilty
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
The conditions of existence of a Lyapunov-Krasovskii functional (LKF) for nonlinear input-to-state stable (ISS) neutral type systems are proposed. The system under consideration depends nonlinearly on the delayed state and ...
Show more >The conditions of existence of a Lyapunov-Krasovskii functional (LKF) for nonlinear input-to-state stable (ISS) neutral type systems are proposed. The system under consideration depends nonlinearly on the delayed state and the delayed state derivative, and satisfies the conditions for the existence and uniqueness of the solutions. The LKF and the system properties are defined in a Sobolev space of absolutely continuous functions with bounded derivatives.Show less >
Show more >The conditions of existence of a Lyapunov-Krasovskii functional (LKF) for nonlinear input-to-state stable (ISS) neutral type systems are proposed. The system under consideration depends nonlinearly on the delayed state and the delayed state derivative, and satisfies the conditions for the existence and uniqueness of the solutions. The LKF and the system properties are defined in a Sobolev space of absolutely continuous functions with bounded derivatives.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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