DocumentCode
3174044
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
Volume
4
fYear
2004
fDate
14-17 Dec. 2004
Firstpage
3690
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2004. CDC. 43rd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-8682-5
Type
conf
DOI
10.1109/CDC.2004.1429312
Filename
1429312
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