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)

抄録

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IEEE International Symposium on Intelligent Control - Proceedings
ページ482-487
ページ数6
DOI
出版物ステータスPublished - 2006
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
継続期間: 2006 10 42006 10 6

Other

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

Fingerprint

Electric commutation
Linear systems

ASJC Scopus subject areas

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

これを引用

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

Stability analysis and design for switched descriptor systems. / Zhai, Guisheng; Kou, Ryuuen; Imae, Joe; Kobayashi, Tomoaki.

IEEE International Symposium on Intelligent Control - Proceedings. 2006. p. 482-487 4064924.

研究成果: Conference contribution

Zhai, G, Kou, R, Imae, J & Kobayashi, T 2006, Stability analysis and design for switched descriptor systems. : IEEE International Symposium on Intelligent Control - Proceedings., 4064924, pp. 482-487, Joint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC), Munich, 06/10/4. https://doi.org/10.1109/ISIC.2006.285599
Zhai G, Kou R, Imae J, Kobayashi T. Stability analysis and design for switched descriptor systems. : IEEE International Symposium on Intelligent Control - Proceedings. 2006. p. 482-487. 4064924 https://doi.org/10.1109/ISIC.2006.285599
Zhai, Guisheng ; Kou, Ryuuen ; Imae, Joe ; Kobayashi, Tomoaki. / Stability analysis and design for switched descriptor systems. IEEE International Symposium on Intelligent Control - Proceedings. 2006. pp. 482-487
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