Qualitative analysis of switched discrete-time descriptor systems

Guisheng Zhai; Xuping Xu; Joe Imae; Tomoaki Kobayashi

doi:10.1109/ISIC.2007.4450884

Qualitative analysis of switched discrete-time descriptor systems

Guisheng Zhai, Xuping Xu, Joe Imae, Tomoaki Kobayashi

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control
Publisher	IEEE Computer Society
Pages	196-201
Number of pages	6
ISBN (Print)	142440441X, 9781424404414
DOIs	https://doi.org/10.1109/ISIC.2007.4450884
Publication status	Published - 2007
Externally published	Yes
Event	2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007 - Singapore, Singapore Duration: 2007 Oct 1 → 2007 Oct 3

Publication series

Name	22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control

Conference

Conference	2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007
Country/Territory	Singapore
City	Singapore
Period	07/10/1 → 07/10/3

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

Access to Document

10.1109/ISIC.2007.4450884

Cite this

Zhai, G., Xu, X., Imae, J., & Kobayashi, T. (2007). 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] (22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control). IEEE Computer Society. https://doi.org/10.1109/ISIC.2007.4450884

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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhai, G, Xu, X, Imae, J & Kobayashi, T 2007, 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, 22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control, IEEE Computer Society, pp. 196-201, 2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007, Singapore, 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. IEEE Computer Society. 2007. p. 196-201. 4450884. (22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control). doi: 10.1109/ISIC.2007.4450884

Zhai, Guisheng ; Xu, Xuping ; Imae, Joe et al. / 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. IEEE Computer Society, 2007. pp. 196-201 (22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control).

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Qualitative analysis of switched discrete-time descriptor systems

Abstract

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Keywords

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