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

Frederic Mazenc 1, 2 Michael Malisoff 3
1 L2S - Laboratoire des signaux et systèmes
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
Inria Saclay - Ile de France, L2S - Laboratoire des signaux et systèmes
3 Department of Mathematics
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.
Keywords : delay Lyapunov Razumikhin stability
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Conference papers
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https://hal.inria.fr/hal-01389863
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Submitted on : Sunday, October 30, 2016 - 9:49:19 AM
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CNRS | INRIA | SUP_LSS | CENTRALESUPELEC | SUP_SYSTEMES | GS-ENGINEERING | DISCO-L2S | GS-COMPUTER-SCIENCE

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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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