Title :
Stability of switched systems with time-varying delays: delay-dependent common Lyapunov functional approach
Author :
Sun, Yuan Gong ; Wang, Long ; Xie, Guangming
Author_Institution :
Dept. o f Mech. a nd Engineerin g Sci., Peking Univ., Beijing
Abstract :
By using a descriptor system approach and the linear matrix inequality (LMI) technique, we investigate the problem of delay-dependent common Lyapunov functions (DCLFs) for switched linear systems with mode-dependent delays. The main contribution of this paper is that we establish the relationship between the delay-dependent common Lyapunov functions for switched delay systems and the well-known common Lyapunov functions (CLFs) for the corresponding systems without delays
Keywords :
Lyapunov methods; continuous time systems; delays; linear matrix inequalities; linear systems; time-varying systems; delay-dependent common Lyapunov functional approach; descriptor system; linear matrix inequality; mode-dependent delays; switched linear systems; switched system stability; with time-varying delays; Control systems; Delay systems; Linear matrix inequalities; Linear systems; Lyapunov method; Stability; Sun; Switched systems; Time varying systems; Transmission line matrix methods;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1656438
