DocumentCode
3115497
Title
A Converse Lyapunov Theorem for Uncertain Switched Linear Systems
Author
Lin, Hai ; Antsaklis, Panos J.
Author_Institution
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA. E-mail: hlin1@nd.edu
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
3291
Lastpage
3296
Abstract
The main contribution of this paper is a converse Lyapunov theorem derived for a class of switched linear systems with time-variant parametric uncertainties. Both discrete-time and continuous-time switched linear systems are investigated. It is shown that the existence of asymptotically stabilizing switching laws implies the existence of a polyhedral Lyapunov function along with conic partition based stabilizing switching laws.
Keywords
Asymptotic stability; Books; Control systems; Linear systems; Lyapunov method; Robustness; Sufficient conditions; Switched systems; Switching systems; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1582669
Filename
1582669
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