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
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582669
