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

作者：He, Wangli; Qian, Feng^*; Cao, Jinde

来源：Neural Networks, 2017, 85: 1-9.

DOI：10.1016/j.neunet.2016.09.002

• Pinning synchronization
• Impulsive control
• Neural networks
• Distributed delays

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.

• 出版日期2017-1
• 单位东南大学; 华东理工大学