Title :
On Exponential Stability of Switched Systems with Delay: Multiple Lyapunov Functions Approach
Author :
Shen, Cong ; Wei, Qian ; Shumin, Fei
Author_Institution :
Nanjing Univ. of Sci. & Technol., Nanjing
Abstract :
The switched system composed of several linear time-delay systems is considered. The problem is to find the constraint conditions on subsystems and switching sequences to preserve the exponential stability. The multiple Lyapunov functions approach is generalized to the time-delay case, it is verified that the specified stability criterion for subsystems implies the exponential stability of whole system whenever the segments between two consecutive switching instants are greater than a prescribed constant. Our results include the correspondent conclusion of stability analysis in the case without after-effect. Numerical examples are given to demonstrate our results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear systems; stability criteria; time-varying systems; exponential stability; linear time-delay systems; multiple Lyapunov functions; stability analysis; stability criterion; switched systems; Automation; Computer science; Control systems; Delay systems; Lyapunov method; Stability analysis; Stability criteria; Switched systems; Time varying systems; Topology; Delay-Independence; Exponential Stability; Switched Systems; Time-Delay;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4346924
