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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages1391-1396
Number of pages6
Volume2
Publication statusPublished - 2000
Externally publishedYes
Event39th IEEE Confernce on Decision and Control - Sydney, NSW, Australia
Duration: 2000 Dec 122000 Dec 15

Other

Other39th IEEE Confernce on Decision and Control
CountryAustralia
CitySydney, NSW
Period00/12/1200/12/15

Keywords

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

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Hu, B., Zhai, G., & Michel, A. N. (2000). Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1391-1396)