A commutation condition for stability analysis of switched linear descriptor systems

Guisheng Zhai, Xuping Xu

研究成果: Article査読

23 被引用数 (Scopus)

抄録

We study the stability analysis problem for switched linear descriptor systems. Assuming that all subsystems are stable and there is no impulse at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and significant extensions to the existing results for switched systems in the state space representation.

本文言語English
ページ(範囲)383-393
ページ数11
ジャーナルNonlinear Analysis: Hybrid Systems
5
3
DOI
出版ステータスPublished - 2011 8

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

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