Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control

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• 作者：Wangli He^a ; Feng Qian^a ; ^{fqian@ecust.edu.cn} ; Jinde Cao^b
• 关键词：Pinning synchronization ; Impulsive control ; Neural networks ; Distributed delays
• 刊名：Neural Networks
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：85
• 期：Complete
• 页码：1-9
• 全文大小：1577 K
• 卷排序：85

文摘

This paper investigates pinning synchronization of coupled neural networks with both current-state coupling and distributed-delay coupling via impulsive control. A novel impulse pinning strategy involving pinning ratio is proposed and a general criterion is derived to ensure an array of neural networks with two different topologies synchronizes with the desired trajectory. In order to handle the difficulties of high-dimension criteria, some inequality techniques and matrix decomposition methods through simultaneous diagonalization of two matrices are introduced and low-dimensional criteria are obtained. Finally, an illustrative example is given to show the effectiveness of the proposed method.