Non-coercive Lyapunov-Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach

In this paper we deal with a class of time-varying delay systems. We show that the existence of a non-coercive Lyapunov-Krasovskii functional is necessary and sufficient for local exponential stability. This result extends what is recently given in [3] for globally Lipschitz systems to a class of lo...

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Bibliographic Details
Main Author: Haidar, Ihab
Format: Conference Proceeding
Language:English
Subjects:
Control theory
Delay systems
Delays
exponential stability
Lyapunov-Krasovskii functionals
Stability
Switched systems
Time-delay systems
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Summary:In this paper we deal with a class of time-varying delay systems. We show that the existence of a non-coercive Lyapunov-Krasovskii functional is necessary and sufficient for local exponential stability. This result extends what is recently given in [3] for globally Lipschitz systems to a class of locally Lipschitz systems. A switched system approach is used to elaborate this result.
ISSN:2379-0067
DOI:10.1109/ICSC57768.2022.9993945