Stability analysis and design for switched descriptor systems

Guisheng Zhai, Ryuuen Kou, Joe Imae, Tomoaki Kobayashi

研究成果: Conference contribution

16 引用 (Scopus)

抜粋

In this paper, we consider stability analysis and design for switched systems consisting of linear descriptor systems that have the same descriptor matrix. When all descriptor systems 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. This is an extension of the existing well known result in [1] for switched linear systems with state space models to switched descriptor systems. Under the same commutation condition, we also show that in the case where all the descriptor systems are not stable, if there is a stable convex combination of the unstable descriptor systems, then we can establish a class of switching laws which stabilize the switched system.

元の言語English
ホスト出版物のタイトルProceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC
ページ482-487
ページ数6
DOI
出版物ステータスPublished - 2006 12 1
外部発表Yes
イベントJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC) - Munich, Germany
継続期間: 2006 10 42006 10 6

出版物シリーズ

名前IEEE International Symposium on Intelligent Control - Proceedings

Conference

ConferenceJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
Germany
Munich
期間06/10/406/10/6

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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  • これを引用

    Zhai, G., Kou, R., Imae, J., & Kobayashi, T. (2006). Stability analysis and design for switched descriptor systems. : Proceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC (pp. 482-487). [4064924] (IEEE International Symposium on Intelligent Control - Proceedings). https://doi.org/10.1109/ISIC.2006.285599