Commutation condition for stability analysis of switched linear descriptor systems

Guisheng Zhai, Xuping Xu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We study the stability analysis problem for switched linear descriptor systems. Assuming that all subsystems are stable and there is no impulse at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and important extensions to the existing results for switched systems in the state space representation.

Original languageEnglish
Title of host publication2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Pages2088-2093
Number of pages6
DOIs
Publication statusPublished - 2010 Nov 30
Event2010 IEEE International Symposium on Intelligent Control, ISIC 2010 - Yokohama, Japan
Duration: 2010 Sep 82010 Sep 10

Publication series

NameIEEE International Symposium on Intelligent Control - Proceedings

Conference

Conference2010 IEEE International Symposium on Intelligent Control, ISIC 2010
CountryJapan
CityYokohama
Period10/9/810/9/10

Keywords

  • Common quadratic lyapunov functions (CQLFs)
  • Impulse-free arbitrary switching
  • Pairwise commutation
  • Stability
  • Switched linear descriptor systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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  • Cite this

    Zhai, G., & Xu, X. (2010). Commutation condition for stability analysis of switched linear descriptor systems. In 2010 IEEE International Symposium on Intelligent Control, ISIC 2010 (pp. 2088-2093). [5612918] (IEEE International Symposium on Intelligent Control - Proceedings). https://doi.org/10.1109/ISIC.2010.5612918