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 : Thursday, October 8, 2015 - 5:36:25 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. ⟨hal-00924252v2⟩

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