Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems

Bo Hu, Guisheng Zhai, Anthony N. Michel

研究成果: Article査読

40 被引用数 (Scopus)

抄録

In this paper we establish quadratic Lyapunov-like functions for qualitative analysis of switched systems. Specifically, for a class of switched systems consisting of two unstable second-order LTI (linear time-invariant) subsystems, we explore in detail some necessary and sufficient conditions for the existence of common (weakly) quadratic Lyapunov-like functions with associated switching regions in ℜ2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.

本文言語English
ページ(範囲)1127-1135
ページ数9
ジャーナルInternational Journal of Control
75
14
DOI
出版ステータスPublished - 2002 9 20
外部発表はい

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

引用スタイル