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

Bo Hu, Guisheng Zhai, Anthony N. Michel

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1127-1135
Number of pages9
JournalInternational Journal of Control
Volume75
Issue number14
DOIs
Publication statusPublished - 2002 Sep 20

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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