Title :
Stabilization of switched linear systems with multiple time-delays
Author :
Hui, Zhang ; Yu-Zhong, Liu ; Lei, Liu
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
This paper considers the problem of stabilization of switched linear systems with multiple time-delays. If the convex combination SigmaalphajAtildej is Hurwitz and the upper bound of delays has a limitation, the system is stabilized under a switching rule and the switching rule has been designed. The single-Lyapunov function is used to analyze the stabilization of the system with a sufficiently small upper bound of delays via a switching rule.
Keywords :
Lyapunov methods; delays; stability; time-varying systems; multiple time-delays; single-Lyapunov function is; stabilization problem; switched linear systems; switching rule; Asymptotic stability; Delay effects; Delay systems; Linear systems; Lyapunov method; Mathematics; Switched systems; Switching systems; Transmission line matrix methods; Upper bound; Lyapunov function; Multiple time delays; Switched system;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5191483
