Piecewise lyapunov functions for switched systems with average dwell time

Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

The stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems are investigated by using piecewise .Lyapunov functions incorporated with an average dwell time approach. It is shown that if the average dwell time is chosen sufficiently large and the total activation time ratio between Hurwitz stable and unstable subsystems is not smaller than a specified constant, then exponential stability of a desired degree is guaranteed. The above result is also extended to the case where nonlinear norm-bounded perturbations exist.

Original languageEnglish
Pages (from-to)192-197
Number of pages6
JournalAsian Journal of Control
Volume2
Issue number3
Publication statusPublished - 2000
Externally publishedYes

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Lyapunov functions
Asymptotic stability
Chemical activation

Keywords

  • Average dwell time
  • Exponential stability
  • Perturbations
  • Piecewise lyapunov function
  • Switched system
  • Switching law

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Control and Systems Engineering

Cite this

Piecewise lyapunov functions for switched systems with average dwell time. / Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.

In: Asian Journal of Control, Vol. 2, No. 3, 2000, p. 192-197.

Research output: Contribution to journalArticle

Zhai, G, Hu, B, Yasuda, K & Michel, AN 2000, 'Piecewise lyapunov functions for switched systems with average dwell time', Asian Journal of Control, vol. 2, no. 3, pp. 192-197.
Zhai, Guisheng ; Hu, Bo ; Yasuda, Kazunori ; Michel, Anthony N. / Piecewise lyapunov functions for switched systems with average dwell time. In: Asian Journal of Control. 2000 ; Vol. 2, No. 3. pp. 192-197.
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