Converse Lyapunov theorems for infinite-dimensional nonlinear switching systems
- Haidar, Ihab
- Chitour, Yacine
- Mason, Paolo
- Sigalotti, Mario
Publication date
December 2019
DOI Publisher
Institute of Electrical and Electronics Engineers (IEEE)Abstract
International audienceIn 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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