Stability analysis for continuous-time switched systems with stochastic switching signals

Xiaotai Wu, Yang Tang, Jinde Cao, Xuerong Mao

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This paper is concerned with the stability problem of randomly switched systems. By using the probability analysis method, the almost surely globally asymptotical stability and almost surely exponential stability are investigated for switched systems with semi-Markovian switching, Markovian switching and renewal process switching signals, respectively. Two examples are presented to demonstrate the effectiveness of the proposed results, in which an example of consensus of multi-agent systems with nonlinear dynamics is taken into account.
Original languageEnglish
JournalIEEE Transactions on Automatic Control
Publication statusPublished - 5 Dec 2017



  • switched systems
  • stability criteria
  • semi-Markovian switching
  • renewal process
  • Markov processes

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