Title :
Exponential stability of switched systems with delay
Author :
Juan, Liu ; Wei, Qian ; Shumin, Fei
Author_Institution :
Dept. of Math. & Inf. Sci., Henan Polytech. Univ., Jiaozuo
Abstract :
This note is concerned with the exponential stability of switched systems for any switching sequence. The systems under consideration are consisted of two linear subsystems with delay. Firstly, the quadratic and piecewise quadratic are constructed and the stability conditions are derived in terms of linear matrix inequalities. Secondly, through the state transformation and the integral inequality, it is verified that the exponential decay rate is definitely determined by the structure of subsystems. Finally, numerical examples are given to demonstrate the effectiveness of our results.
Keywords :
asymptotic stability; delays; linear matrix inequalities; time-varying systems; exponential decay rate; exponential stability; integral inequality; linear matrix inequalities; linear subsystem; piecewise quadratic; stability condition; state transformation; switched systems; switching sequence; time delay; Automation; Computer science; Delay lines; Delay systems; Information science; Linear matrix inequalities; Mathematics; Riccati equations; Stability; Switched systems; Exponential stability; Linear matrix inequality (LMI); Switched systems; Time-delay;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4604946
