International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2010
Volume 20 - 2010

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

Guisheng Zhai, Xuping Xu

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.

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

DOI
10.2478/v10006-010-0018-2