Qualitative analysis of switched discrete-time descriptor systems

Guisheng Zhai, Xuping Xu, Joe Imae, Tomoaki Kobayashi

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


In this paper, we consider stability analysis and design for switched systems consisting of linear discrete-time descriptor subsystems. When all descriptor subsystems are stable, we show that if the descriptor matrix and all the subsystem matrices are commutative pairwise, then the switched system is stable under arbitrary switching. We also extend the result to the case where all subsystems have different descriptor matrices. Under the same commutation condition, we show that in the case where none of the descriptor subsystems is stable, if there is a stable combination of the unstable descriptor subsystems, then we establish a class of switching laws which stabilize the switched descriptor system. All the results are natural but important extensions to the existing results for switched systems composed of state space subsystems.

Original languageEnglish
Pages (from-to)512-519
Number of pages8
JournalInternational Journal of Control, Automation and Systems
Issue number4
Publication statusPublished - 2009 Aug
Externally publishedYes


  • Arbitrary switching
  • Discrete-time descriptor systems
  • Stability analysis
  • Stabilization
  • Stable combination
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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