Towards robust Lie-algebraic stability conditions for switched linear systems

Andrei A. Agrachev, Yuliy Baryshnikov, Daniel Liberzon

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

5 引用 (Scopus)

抜粋

This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the given matrices generating the switched system. The main novel feature of these stability criteria is that, unlike their earlier counterparts, they are robust with respect to small perturbations of the system parameters. Two distinct approaches are investigated. For discrete-time switched linear systems, we formulate a stability condition in terms of an explicit upper bound on the norms of the Lie brackets. For continuous-time switched linear systems, we develop two stability criteria which capture proximity of the associated matrix Lie algebra to a solvable or a .solvable plus compact. Lie algebra, respectively.

元の言語英語
ホスト出版物のタイトル2010 49th IEEE Conference on Decision and Control, CDC 2010
ページ408-413
ページ数6
DOI
出版物ステータス出版済み - 12 1 2010
外部発表Yes
イベント2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, 米国
継続期間: 12 15 201012 17 2010

出版物シリーズ

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

その他

その他2010 49th IEEE Conference on Decision and Control, CDC 2010
米国
Atlanta, GA
期間12/15/1012/17/10

All Science Journal Classification (ASJC) codes

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

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  • これを引用

    Agrachev, A. A., Baryshnikov, Y., & Liberzon, D. (2010). Towards robust Lie-algebraic stability conditions for switched linear systems. : 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 408-413). [5717603] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2010.5717603