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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.
https://hal.archives-ouvertes.fr/hal-03015442
Contributor : Paolo Mason Connect in order to contact the contributor
Submitted on : Thursday, November 19, 2020 - 8:05:43 PM
Last modification on : Thursday, April 7, 2022 - 1:58:31 PM
Contributor : Paolo Mason Connect in order to contact the contributor
Submitted on : Thursday, November 19, 2020 - 8:05:43 PM
Last modification on : Thursday, April 7, 2022 - 1:58:31 PM
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