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

Qingzhi Wang, Guanzheng Tan, Yong He and Min Wu

International Journal of Systems Science, 2017, vol. 48, issue 14, 3032-3043

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.

Date: 2017
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DOI: 10.1080/00207721.2017.1367050

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