Title :
On Exponential Stability of Switched Systems with Delay: Lyapunov Function Approach
Author :
Juan, Liu ; Wei, Qian ; Shumin, Fei
Author_Institution :
Henan Polytech. Univ, Jiaozuo
Abstract :
The switched dynamical system consisting of two linear subsystems with delay is considered. The problem is to find conditions guaranteeing exponential stability of the system for any switching sequence. Combining with Halanay differential inequality, both quadratic and piecewise quadratic construction of Lyapunov function is exploited, from which the stability criteria in terms of linear matrix inequalities are derived. Furthermore, it is strictly verified that the exponential decay rate holds uniformly for all switching sequence, and is definitely determined by the structure of subsystems. Numerical examples are given to demonstrate the effectiveness of our results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; time-varying systems; Lyapunov function approach; differential inequality; exponential decay; exponential stability; linear matrix inequalities; linear subsystems; piecewise quadratic construction; switched dynamical system; switched systems; switching sequence; Automation; Delay effects; Delay lines; Delay systems; Hafnium; Industrial control; Linear matrix inequalities; Lyapunov method; Stability criteria; Switched systems; Exponential stability; Halanay inequality; 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.2006.4346977
