Title :
A converse Lyapunov theorem for the discrete switched system
Author :
Li, Zhiqiang ; Xiao, Huimin ; Song, Jinli
Author_Institution :
Dept. of Math. & Inf. Sci., Henan Univ. of Econ. & Law, Zhengzhou, China
Abstract :
In this paper, a converse Lyapunov theorem for discrete switched systems is presented, and a common Lyapunov function is constructed for a class of discrete switched systems whose subsystems are commutative.
Keywords :
Lyapunov methods; discrete systems; time-varying systems; Lyapunov function; commutative subsystem; converse Lyapunov theorem; discrete switched system; Asymptotic stability; Discrete time systems; Lyapunov methods; Nonlinear systems; Switched systems; Switches; Common Lyapunov Function; Converse Lyapunov Theorem; Discrete Switched System; Uniform Asymptotical Stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968911
