Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
Optimization and Control
2012-11-26 v3 Systems and Control
Abstract
We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and sufficient conditions for their global exponential stability, uniform with respect to the switching signal, in terms of the existence of a Lyapunov function common to all modes.
Keywords
Cite
@article{arxiv.1006.1749,
title = {Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces},
author = {Falk Hante and Mario Sigalotti},
journal= {arXiv preprint arXiv:1006.1749},
year = {2012}
}