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

Guisheng Zhai; Xuping Xu

doi:10.2478/v10006-010-0018-2

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

International Journal of Applied Mathematics and Computer Science

Volume 20 (2010): Issue 2 (June 2010)

By: Guisheng Zhai and Xuping Xu

Open Access

|Jul 2010

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.

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