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Converse Lyapunov theorems for infinite-dimensional nonlinear switching systems

Abstract : In this paper, we provide two converse Lyapunov theorems in the framework of nonlinear infinite-dimensional switching systems. Our results characterize uniform exponential stability with respect to the switching law through the existence of both coercive and non-coercive Lyapunov functionals. The starting point for our arguments is a generalization of the well-known Datko lemma to the case of nonlinear infinite-dimensional switching systems.
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https://hal.archives-ouvertes.fr/hal-03015442
Contributor : Paolo Mason <>
Submitted on : Thursday, November 19, 2020 - 8:05:43 PM
Last modification on : Friday, December 11, 2020 - 8:09:06 PM

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Ihab Haidar, Yacine Chitour, Paolo Mason, Mario Sigalotti. Converse Lyapunov theorems for infinite-dimensional nonlinear switching systems. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. pp.587-592, ⟨10.1109/CDC40024.2019.9029498⟩. ⟨hal-03015442⟩

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