Title :
Existence of common Lyapunov functions for infinite-dimensional switched linear systems
Author :
Hante, Falk M. ; Sigalotti, Mario
Author_Institution :
Inst. Elie Cartan, Vandoevre-lès-Nancy, France
Abstract :
We provide necessary and sufficient conditions in terms of the existence of common Lyapunov functions for switched systems with modes governed by strongly continuous semigroups on Banach spaces to be globally uniformly exponentially stable for arbitrary switching signals.
Keywords :
Banach spaces; Lyapunov methods; asymptotic stability; linear systems; multidimensional systems; Banach space; Lyapunov function; exponential stability; infinite-dimensional switched linear system; Feedback control; Gallium; Lyapunov method; Stability criteria; Switched systems; Switches;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5716961