Stability of switched linear discrete-time descriptor systems: A new commutation condition

Guisheng Zhai, Xuping Xu, Daniel W.C. Ho

研究成果: Article査読

14 被引用数 (Scopus)

抄録

In this article, we study stability of switched linear discrete-time descriptor systems. Under the assumption that all subsystems are stable and there is no impulse occurring at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. It turns out that the condition is a natural and important extension to the existing commutation conditions, and it can be applied in discretised continuous-time switched systems in a straightforward manner. Finally, we also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function for the subsystems.

本文言語English
ページ(範囲)1779-1788
ページ数10
ジャーナルInternational Journal of Control
85
11
DOI
出版ステータスPublished - 2012 11月 1

ASJC Scopus subject areas

  • 制御およびシステム工学
  • コンピュータ サイエンスの応用

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