Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism

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• 作者：Lulu Li^a ; ^{lilulu01@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Daniel W.C. Ho^b ; ^{madaniel@cityu.edu.hk" class="auth_mail" title="E-mail the corresponding author} ; Jinde Cao^c ; ^{jdcao@seu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Jianquan Lu^c ; ^{jqluma@seu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Neural networks ; Cluster synchronization ; Pinning control ; Event-based mechanism
• 刊名：Neural Networks
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：76
• 期：Complete
• 页码：1-12
• 全文大小：1438 K

文摘

Cluster synchronization is a typical collective behavior in coupled dynamical systems, where the synchronization occurs within one group, while there is no synchronization among different groups. In this paper, under event-based mechanism, pinning cluster synchronization in an array of coupled neural networks is studied. A new event-triggered sampled-data transmission strategy, where only local and event-triggering states are utilized to update the broadcasting state of each agent, is proposed to realize cluster synchronization of the coupled neural networks. Furthermore, a self-triggered pinning cluster synchronization algorithm is proposed, and a set of iterative procedures is given to compute the event-triggered time instants. Hence, this will reduce the computational load significantly. Finally, an example is given to demonstrate the effectiveness of the theoretical results.