Falk Hante, Mario Sigalotti
Published 2010-06-09, updated 2011-02-15Version 3
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.
Journal: SIAM Journal on Control and Optimization, Vol. 49, Nr. 2, pp. 752--770, 2011
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