A new approach for stability analysis of time-dependent switched continuous-time linear systems

Weiming Xiang, Jian Xiao, Lu Han

Research output: Contribution to journalArticle

Abstract

In this paper, a new approach for stability analysis of time-dependent switched linear systems is proposed. System equivalence is the main idea in this new approach, which derives a switched discrete linear parameter-varying system from the switched continuous-time linear switched system with interval dwell time, and the stability properties of the two corresponding systems are proved to be equivalent. Then, by applying a quadratic Lyapunov function approach for the equivalent switched discrete system, the stability of the switched continuous-time linear system can be established without checking any average dwell time condition. Finally the computation complexity is analyzed, and mode incidence matrix is introduced to reduce the computation cost.

Original languageEnglish (US)
Pages (from-to)461-468
Number of pages8
JournalAsian Journal of Control
Volume16
Issue number2
DOIs
StatePublished - Mar 1 2014
Externally publishedYes

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Linear systems
Lyapunov functions
Costs

Keywords

  • interval dwell time
  • mode incidence matrix
  • quadratic Lyapunov function
  • system equivalence
  • Time-dependent switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

A new approach for stability analysis of time-dependent switched continuous-time linear systems. / Xiang, Weiming; Xiao, Jian; Han, Lu.

In: Asian Journal of Control, Vol. 16, No. 2, 01.03.2014, p. 461-468.

Research output: Contribution to journalArticle

Xiang, Weiming ; Xiao, Jian ; Han, Lu. / A new approach for stability analysis of time-dependent switched continuous-time linear systems. In: Asian Journal of Control. 2014 ; Vol. 16, No. 2. pp. 461-468.
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