Commutation condition for stability analysis of switched linear descriptor systems

Guisheng Zhai; Xuping Xu

doi:10.1109/ISIC.2010.5612918

Commutation condition for stability analysis of switched linear descriptor systems

Guisheng Zhai, Xuping Xu

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Pages	2088-2093
Number of pages	6
DOIs	https://doi.org/10.1109/ISIC.2010.5612918
Publication status	Published - 2010 Nov 30
Event	2010 IEEE International Symposium on Intelligent Control, ISIC 2010 - Yokohama, Japan Duration: 2010 Sept 8 → 2010 Sept 10

Publication series

Name	IEEE International Symposium on Intelligent Control - Proceedings

Conference

Conference	2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Country/Territory	Japan
City	Yokohama
Period	10/9/8 → 10/9/10

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

Access to Document

10.1109/ISIC.2010.5612918

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., 5612918, IEEE International Symposium on Intelligent Control - Proceedings, pp. 2088-2093, 2010 IEEE International Symposium on Intelligent Control, ISIC 2010, Yokohama, Japan, 10/9/8. https://doi.org/10.1109/ISIC.2010.5612918

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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.",

keywords = "Common quadratic lyapunov functions (CQLFs), Impulse-free arbitrary switching, Pairwise commutation, Stability, Switched linear descriptor systems",

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doi = "10.1109/ISIC.2010.5612918",

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AB - 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.

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T3 - IEEE International Symposium on Intelligent Control - Proceedings

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BT - 2010 IEEE International Symposium on Intelligent Control, ISIC 2010

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Commutation condition for stability analysis of switched linear descriptor systems

Abstract

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Conference

Keywords

ASJC Scopus subject areas

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