Qualitative analysis for a class of switched systems

Guisheng Zhai, Kazunori Yasuda

研究成果: Conference contribution

抄録

In this paper, we study several qualitative properties for a class of switched systems composed of several subsystems, where each subsystem's vector field is composed of a linear time-invariant part and a nonlinear norm-bounded perturbation part. It is assumed that the linear subsystem matrices are commutative pairwise, and there exists a linear convex stable combination of unstable linear subsystem matrices. First, in the case of no perturbations, we propose a switching law under which the entire switched system is globally exponentially stable. In the switching law, Hurwitz stable sub-systems (if exist) are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. Secondly, under the same switching law, we analyze qualitative property of the switched system in the case where nonlinear norm-bounded perturbations exist. Some numerical examples are given in the paper to demonstrate the results.

本文言語English
ホスト出版物のタイトルProceedings of the 4th Asia-Pacific Conference on Control and Measurement
編集者S. Chunlin, S. Chunlin
ページ139-144
ページ数6
出版ステータスPublished - 2000 12月 1
外部発表はい
イベントProceedings of the 4th Asia-Pacific Conference on Control and Measurement - Guilin, China
継続期間: 2000 7月 92000 7月 12

出版物シリーズ

名前Proceedings of the 4th Asia-Pacific Conference on Control and Measurement

Conference

ConferenceProceedings of the 4th Asia-Pacific Conference on Control and Measurement
国/地域China
CityGuilin
Period00/7/900/7/12

ASJC Scopus subject areas

  • 工学(全般)

引用スタイル