Extension of Razumikhin's theorem for time-varying systems with delay

Frederic Mazenc 1, 2 Michael Malisoff 3
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : — We provide an extension of Razumikhin's theorem for continuous time time-varying systems with time-varying delays. Our result uses a novel 'strictification' technique for converting a nonstrict Lyapunov function into a strict one. Our examples show how our method can sometimes allow broader classes of allowable delays than the results in the literature.
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Frederic Mazenc, Michael Malisoff. Extension of Razumikhin's theorem for time-varying systems with delay. 2016 American Control Conference (ACC), Jul 2016, Boston United States. pp.6, ⟨10.1109/ACC.2016.7524896⟩. ⟨hal-01389863⟩

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