On Equivalence of Lyapunov-Razumikhin Conditions and ISS for a Class of Time-Delay Systems

On Equivalence of Lyapunov-Razumikhin Conditions and ISS for a Class of Time-Delay Systems

For a retarded nonlinear system with a Lipschitz nonlinearity on bounded sets outside the origin, this article proposes necessary conditions for application of the Lyapunov-Razumikhin method. The presented conditions are illustrated on the classes of linear and nonlinear homogeneous systems.

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Veröffentlicht in:IEEE transactions on automatic control 2024-08, Vol.69 (8), p.5666-5671
Hauptverfasser: Efimov, D., Aleksandrov, A.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Automatic Control Engineering
Computer Science
delay systems
Delays
Dynamical systems
Lyapunov methods
Nonlinear systems
Nonlinearity
Stability analysis
Surveys
Time delay systems
Vectors
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Beschreibung
Zusammenfassung:For a retarded nonlinear system with a Lipschitz nonlinearity on bounded sets outside the origin, this article proposes necessary conditions for application of the Lyapunov-Razumikhin method. The presented conditions are illustrated on the classes of linear and nonlinear homogeneous systems.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2024.3382609