Exponential Stability Analysis for Switched Systems with Distributed Time-Varying Delays

Author

Lei, Huan ; Zhong, Shouming ; Wang, Peiming

Author_Institution

Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Cheng Du, China

fYear

2012

fDate

11-13 Aug. 2012

Firstpage

2189

Lastpage

2193

Abstract

In this paper, some ideas of switched systems with distributed time-varying delays are investigated. Based on the Lyapunov-Krasovskii functional and free-weighting matrices technique, the average dwell time method is applied to ensure the exponential stability of the systems. And a new stability criterion is obtained by the means of linear matrix inequities (LMI). Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the results obtained.

Keywords

Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; time-varying systems; LMI; Lyapunov-Krasovskii functional technique; distributed time-varying delays; exponential stability analysis; free-weighting matrices technique; linear matrix inequities; stability criterion; switched systems; Control theory; Delay; Stability analysis; Switched systems; Switches; distributed delay; exponential stability; linear matrix inequities(LMI); switched systems; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science & Service System (CSSS), 2012 International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4673-0721-5

Type

conf

DOI

10.1109/CSSS.2012.544

Filename

6394862