Creator:

Zhai, Guisheng ; Xu, Xuping

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching

Group publication title:

AMCS, Volume 20 (2010)

Subject and Keywords:

switched linear descriptor systems ; stability ; arbitrary switching ; linear matrix inequalities (LMIs) ; common quadratic Lyapunov functions

Abstract:

We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2010

Resource Type:

artykuł

DOI:

10.2478/v10006-010-0018-2

Pages:

249-259

Source:

AMCS, Volume 20, Number 2 (2010) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego