Exponential synchronization via pinning adaptive control for complex networks of networks with time delays

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• 作者：Mohmmed Alsiddig Alamin Ahmed^aAuthor Vitae ; Yurong Liu^a ; ^b ; ^{yrliu@yzu.edu.cn}Author Vitae ; Wenbing Zhang^aAuthor Vitae ; Fuad E. Alsaadi^cAuthor Vitae
• 关键词：Complex network ; Network of networks ; Exponential synchronization ; Pinning adaptive control ; Time delay
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：225
• 期：Complete
• 页码：198-204
• 全文大小：1266 K
• 卷排序：225

文摘

This paper is concerned with the pinning adaptive synchronization control problem for a class of complex networks of networks. The complex networks of networks under consideration are composed of both leaders' network and followers' networks (also called “subnetworks”), where the leaders' network and subnetworks are regarded as the nodes of the networks of networks, each subnetwork can receive the information from leaders' network, but not the reverse. In order to achieve the synchronization for the networks of networks, pinning control strategy is adopted, and adaptive controllers are designed for the controlled nodes. By utilizing the stability theory of dynamical systems and some analysis techniques such as the Barbalat lemma, several sufficient criteria are obtained to ensure global exponential synchronization for the controlled complex networks of networks. Finally, a numerical simulation example is given to verify the theoretical results.