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

Guisheng Zhai, Xuping Xu

Research output: Contribution to journalArticle

25 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)249-259
Number of pages11
JournalInternational Journal of Applied Mathematics and Computer Science
Volume20
Issue number2
DOIs
Publication statusPublished - 2010 Jun 1

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Lyapunov functions
Linear matrix inequalities

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science (miscellaneous)
  • Engineering (miscellaneous)

Cite this

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AB - 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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