Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling

Dawei Ding, Jie Yan, Nian Wang and Dong Liang

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 41-50

Abstract: This paper investigates the synchronization of fractional order complex-variable dynamical networks with time-varying coupling. Based on information of the complex network's configuration, an effective adaptive pinning control strategy to adjust simultaneously coupling strength and feedback gain is designed. Besides, we also consider the synchronization in complex networks with time-varying coupling weight. By constructing suitable Lyapunov function and using the presented lemma, some sufficient criteria are derived to achieve the synchronization of fractional order complex-variable dynamical networks under the corresponding update law. The update law is only dependent on the states of the complex dynamical networks, which do not need any other information such as the characteristic of the uncoupled nodes of the networks. Further, the result extends the synchronization condition of the real-variable dynamical networks to the complex-valued field. Finally, the correctness and feasibility of the proposed theoretical results are verified by two examples of fractional complex-variable dynamic networks.

Keywords: Complex-variable dynamical networks; Caputo fractional order derivate; Time-varying coupling; Adaptive pinning control; Synchronization (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:41-50

DOI: 10.1016/j.chaos.2017.07.028

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