A unified approach to analysis of switched linear descriptor systems under arbitrary switching

Guisheng Zhai, Ping Xu

研究成果: Conference contribution

10 被引用数 (Scopus)

抄録

We establish a unified approach to stability and ℒ2 gain analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for stability of all subsystems, then the switched system is stable under arbitrary switching. Furthermore, we show that if there is a common quadratic Lyapunov function for stability and certain ℒ2 gain of all subsystems, then the switched system is stable and has the same ℒ2 gain under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.

本文言語English
ホスト出版物のタイトルProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
ページ3897-3902
ページ数6
DOI
出版ステータスPublished - 2009 12 1
外部発表はい
イベント48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
継続期間: 2009 12 152009 12 18

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0191-2216

Conference

Conference48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period09/12/1509/12/18

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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