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Exponential quasi-synchronization of conformable fractional-order complex dynamical networks

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  • Chu, Xiaoyan
  • Xu, Liguang
  • Hu, Hongxiao

Abstract

This article concerns the global exponential quasi-synchronization issue of conformable fractional-order complex dynamical networks (FCDNs) by periodically intermittent pinning control. We first establish two conformable fractional-order differential inequality, which are useful to deal with the global exponential quasi-synchronization of conformable FCDNs, and then by the obtained inequalities, the Lyapunov approach as well as the periodically intermittent pinning controller, related sufficient conditions are obtained to ensure the global exponential quasi-synchronization of the addressed networks. Finally, numerical simulations are provided to show the effectiveness of the theoretical results.

Suggested Citation

  • Chu, Xiaoyan & Xu, Liguang & Hu, Hongxiao, 2020. "Exponential quasi-synchronization of conformable fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306640
    DOI: 10.1016/j.chaos.2020.110268
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