Finite-time stability and stabilisation for switched linear systems

Weiming Xiang, Jian Xiao

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article.

Original languageEnglish (US)
Pages (from-to)384-400
Number of pages17
JournalInternational Journal of Systems Science
Issue number2
StatePublished - Feb 1 2013
Externally publishedYes


  • Finite-time boundness
  • Finite-time stabilisation
  • Finite-time stability
  • Switched linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications


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