Non-coercive Lyapunov-Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach
Résumé
In this paper we deal with a class of time-varying delay systems. We show that the existence of a noncoercive 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.
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