Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations

Abstract : In this article we give a collection of converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations. We show that the existence of a weakly-degenerate Lyapunov–Krasovskii functional is a necessary and sufficient condition for the global exponential stability of linear retarded functional differential equations. This is carried out using a switched system representation approach.
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Submitted on : Friday, December 22, 2017 - 6:02:06 PM
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Ihab Haidar, Paolo Mason, Mario Sigalotti. Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations. Automatica, Elsevier, 2015, 62, pp.263-273. ⟨10.1016/j.automatica.2015.09.034 ⟩. ⟨hal-00924252v3⟩

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