The impulsive property of switched singular systems and its stability

Author

Liu, Yuzhong

Author_Institution

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

fYear

2008

fDate

25-27 June 2008

Firstpage

6369

Lastpage

6372

Abstract

The problem of state jumps due to inconsistent initial conditions for impulsive and switched singular systems was addressed in this paper. The relationship between the solution with inconsistent initial condition and the one with consistent initial condition was discussed as well. The switched singular systems of each subsystem with different algebraic constraint conditions was modeled by switched singular systems with impulsive effects on switching instants. Multiple Lyapunov function approach for normal switched systems was extended to the impulsive and switched singular systems. A sufficient condition for the systems to be stable is given.

Keywords

Lyapunov methods; stability; time-varying systems; algebraic constraint; multiple Lyapunov function; stability; switched singular systems; Asymptotic stability; Automation; Control systems; Control theory; Intelligent control; Lyapunov method; Mathematics; Stability analysis; Sufficient conditions; Switched systems; Impulsive control; Multiple Lyapunov functions; Switched singular systems; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4593890

Filename

4593890