Qualitative analysis of switched discrete-time descriptor systems

Guisheng Zhai, Xuping Xu, Joe Imae, Tomoaki Kobayashi

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

9 Citations (Scopus)

Abstract

In this paper, we consider stability analysis and design for switched systems consisting of linear discretetime 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 all the descriptor subsystems are not stable, if there is a stable combination of the unstable descriptor subsystems, then we can establish a class of switching laws which stabilize the switched descriptor system.

Original languageEnglish
Title of host publication22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control
Pages196-201
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007 - Singapore
Duration: 2007 Oct 12007 Oct 3

Other

Other2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007
CitySingapore
Period07/10/107/10/3

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Keywords

  • Arbitrary switching
  • Discrete-time descriptor systems
  • Stability analysis
  • Stabilization
  • Stable combination
  • Switched 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., Imae, J., & Kobayashi, T. (2008). Qualitative analysis of switched discrete-time descriptor systems. In 22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control (pp. 196-201). [4450884] https://doi.org/10.1109/ISIC.2007.4450884

Qualitative analysis of switched discrete-time descriptor systems. / Zhai, Guisheng; Xu, Xuping; Imae, Joe; Kobayashi, Tomoaki.

22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control. 2008. p. 196-201 4450884.

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

Zhai, G, Xu, X, Imae, J & Kobayashi, T 2008, Qualitative analysis of switched discrete-time descriptor systems. in 22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control., 4450884, pp. 196-201, 2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007, Singapore, 07/10/1. https://doi.org/10.1109/ISIC.2007.4450884
Zhai G, Xu X, Imae J, Kobayashi T. Qualitative analysis of switched discrete-time descriptor systems. In 22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control. 2008. p. 196-201. 4450884 https://doi.org/10.1109/ISIC.2007.4450884
Zhai, Guisheng ; Xu, Xuping ; Imae, Joe ; Kobayashi, Tomoaki. / Qualitative analysis of switched discrete-time descriptor systems. 22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control. 2008. pp. 196-201
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