A limit inferior Φ-dependent average dwell time approach for stability analysis of switched systems

Qiang Yu, Guisheng Zhai

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


A novel concept of limit inferior (Formula presented.) -dependent average dwell time (L (Formula presented.) DADT) is first proposed, which is a generalization of various existing concepts of dwell time. Based on the L (Formula presented.) DADT scheme and the multiple Lyapunov function approach, some new sufficient conditions for stability and stabilization of switched systems are established by introducing some inequalities. Those criteria acquired contain most of the established ones based on ADT, limiting ADT, mode-dependent ADT, (Formula presented.) -dependent ADT, etc. Specifically, the stability and stabilization criteria for switched linear systems are listed as linear matrix inequalities that can be examined and calculated easily by the LMI toolbox in Matlab. At last, three typical numerical examples are presented for illustrating the effectiveness and validity of the L (Formula presented.) DADT scheme presented in this paper.

Original languageEnglish
Pages (from-to)565-581
Number of pages17
JournalInternational Journal of Robust and Nonlinear Control
Issue number2
Publication statusPublished - 2021 Jan 25


  • average dwell time
  • multiple Lyapunov functions
  • stability and stabilization
  • switched systems
  • Φ-dependent average dwell time

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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