Title :
A necessary and sufficient condition for robust asymptotic stabilizability of continuous-time uncertain switched linear systems
Author :
Lin, Hai ; Antsaklis, Panos J.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
The main contribution of this paper is a necessary and sufficient condition derived for the existence of asymptotically stabilizing switching laws for a class of switched linear systems with time-variant parametric uncertainties. This result improves upon the sufficient only conditions found in the literature. The method is based on polyhedral Lyapunov-like functions, which represent generalizations of polytopic Lyapunov functions in the classical sense.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; linear systems; time-varying systems; uncertain systems; continuous-time uncertain switched linear systems; necessary sufficient condition; polyhedral Lyapunov-like functions; polytopic Lyapunov functions; robust asymptotic stabilizability; time-variant parametric uncertainties; Asymptotic stability; Control system synthesis; Control systems; Linear systems; Lyapunov method; Mathematics; Robustness; Sufficient conditions; Switched systems; Uncertainty;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429312
