Stability analysis of continuous-time switched systems with a random switching signal

Junlin Xiong, James Lam, Zhan Shu, Xuerong Mao

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide
with our intuition.
LanguageEnglish
Pages180-186
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume59
Issue number1
Early online date6 Jun 2013
DOIs
Publication statusPublished - Jan 2014

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Linear matrix inequalities
System stability

Keywords

  • dwell time
  • random switching
  • stochastic stability
  • continuous-time switched systems
  • linear matrix inequalities

Cite this

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Stability analysis of continuous-time switched systems with a random switching signal. / Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong.

In: IEEE Transactions on Automatic Control, Vol. 59, No. 1, 01.2014, p. 180-186.

Research output: Contribution to journalArticle

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