Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems

B. Hu, G. Zhai, A. N. Michel

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable subsystems, we explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to the recent work on conic switching laws.

Original languageEnglish
Pages (from-to)1391-1396
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
DOIs
Publication statusPublished - 2000 Dec
Externally publishedYes

Keywords

  • Conic switching laws
  • Quadratic Lyapunov-like functions
  • Second-order switched systems
  • Stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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