Stability analysis for linear switched time-delay systems with unstable subsystems

Author

Qu, Yuan-Chao ; Liu, Yu-Zhong ; Zhao, Xiao-Qi ; Zhang, Li-Na

Author_Institution

Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China

fYear

2011

fDate

23-25 May 2011

Firstpage

2251

Lastpage

2255

Abstract

This paper considers the problem of stabilization of linear switched time-delay systems which contain unstable subsystems. Stability conditions are derived by applying a model transformation and adopting the weighting matrix method in the derivative of the Lyapunov function, such that the system is asymptotically stable. The resulting delay dependent stability criteria are less conservative compared to the work in the literature. Simulation examples illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; asymptotic stability; delays; linear systems; matrix algebra; time-varying systems; Lyapunov function; asymptotic stability; delay dependent stability criteria; linear switched time-delay systems; model transformation; stability analysis; unstable subsystems; weighting matrix method; Asymptotic stability; Delay; Numerical stability; Power system stability; Stability analysis; Switched systems; Switches; Hurwitz combination; stability analysis; switched time-delay systems; unstable subsystem;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968582

Filename

5968582