Title :
Quadratic stability and stabilization of discrete-time switched systems with state delay
Author :
Xie, Guangming ; Wang, Long
Author_Institution :
Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China
Abstract :
In this paper, the problem of stability analysis and control synthesis of discrete-time switched systems with delayed states is addressed. Two different linear matrix inequality-based conditions are given which guarantee the existence of a switched quadratic Lyapunov function for asymptotic stability of the switched systems under consideration. The obtained linear matrix inequality conditions can also be used to solve the control synthesis problem.
Keywords :
Lyapunov methods; asymptotic stability; control system analysis; control system synthesis; delays; discrete time systems; linear matrix inequalities; time-varying systems; asymptotic stability; control synthesis; discrete-time switched systems; quadratic stability; stability analysis; stabilization; state delay; switched quadratic Lyapunov function; Asymptotic stability; Control system synthesis; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Linear systems; Lyapunov method; Stability analysis; Switched systems;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428972
