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

Xiaoyan Chu, Liguang Xu and Hongxiao Hu

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

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.

Keywords: Quasi-synchronization; Complex networks; Conformable fractional-order; Pinning control; Intermittent control (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306640

DOI: 10.1016/j.chaos.2020.110268

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