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Stability analysis of piecewise non-linear systems and its application to chaotic synchronisation with intermittent control

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  • Qingzhi Wang
  • Guanzheng Tan
  • Yong He
  • Min Wu

Abstract

This paper considers a stability analysis issue of piecewise non-linear systems and applies it to intermittent synchronisation of chaotic systems. First, based on piecewise Lyapunov function methods, more general and less conservative stability criteria of piecewise non-linear systems in periodic and aperiodic cases are presented, respectively. Next, intermittent synchronisation conditions of chaotic systems are derived which extend existing results. Finally, Chua's circuit is taken as an example to verify the validity of our methods.

Suggested Citation

  • Qingzhi Wang & Guanzheng Tan & Yong He & Min Wu, 2017. "Stability analysis of piecewise non-linear systems and its application to chaotic synchronisation with intermittent control," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 3032-3043, October.
  • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3032-3043
    DOI: 10.1080/00207721.2017.1367050
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