Adaptive outer synchronization between two complex delayed dynamical networks via aperiodically intermittent pinning control

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• 作者：Xuqiang Lei^aAuthor Vitae ; Shuiming Cai^a ; ^{caishuiming2008@126.com}Author Vitae ; Shengqin Jiang^bAuthor Vitae ; Zengrong Liu^c ; ^{zrongliu@126.com}Author Vitae
• 关键词：Complex delayed dynamical network ; Outer synchronization ; Adaptive intermittent control ; Pinning strategy ; Aperiodic
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：26 January 2017
• 年：2017
• 卷：222
• 期：Complete
• 页码：26-35
• 全文大小：3798 K
• 卷排序：222

文摘

In this paper, an aperiodically adaptive intermittent control scheme combined with pinning strategy is proposed for outer synchronization between two general complex delayed dynamical networks. Through constructing a novel piecewise auxiliary function, some sufficient conditions for outer synchronization are derived based on the reduction to absurdity and piecewise analytic method. Different from the periodically intermittent pinning control, here the adaptive intermittent pinning control can be aperiodic. Additionally, an effective pinned-node selection scheme is provided to guide what kinds of nodes should be pinned first. Numerical simulations are finally given to illustrate the effectiveness of the obtained theoretical results.