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 publicationIEEE International Symposium on Intelligent Control - Proceedings
Pages2088-2093
Number of pages6
DOIs
Publication statusPublished - 2010
Event2010 IEEE International Symposium on Intelligent Control, ISIC 2010 - Yokohama
Duration: 2010 Sep 82010 Sep 10

Other

Other2010 IEEE International Symposium on Intelligent Control, ISIC 2010
CityYokohama
Period10/9/810/9/10

Fingerprint

Electric commutation
Lyapunov functions

Keywords

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

ASJC Scopus subject areas

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

Cite this

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

Commutation condition for stability analysis of switched linear descriptor systems. / Zhai, Guisheng; Xu, Xuping.

IEEE International Symposium on Intelligent Control - Proceedings. 2010. p. 2088-2093 5612918.

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

Zhai, G & Xu, X 2010, Commutation condition for stability analysis of switched linear descriptor systems. in IEEE International Symposium on Intelligent Control - Proceedings., 5612918, pp. 2088-2093, 2010 IEEE International Symposium on Intelligent Control, ISIC 2010, Yokohama, 10/9/8. https://doi.org/10.1109/ISIC.2010.5612918
Zhai G, Xu X. Commutation condition for stability analysis of switched linear descriptor systems. In IEEE International Symposium on Intelligent Control - Proceedings. 2010. p. 2088-2093. 5612918 https://doi.org/10.1109/ISIC.2010.5612918
Zhai, Guisheng ; Xu, Xuping. / Commutation condition for stability analysis of switched linear descriptor systems. IEEE International Symposium on Intelligent Control - Proceedings. 2010. pp. 2088-2093
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