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

fYear

2008

fDate

16-18 July 2008

Firstpage

12

Lastpage

15

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CHICC.2008.4604946

Filename

4604946