Pinning Impulsive Synchronization of Reaction-Diffusion Neural Networks With Time-Varying Delays

作者：Liu Xinzhi^*; Zhang Kexue; Xie Wei Chau

来源：IEEE Transactions on Neural Networks and Learning Systems, 2017, 28(5): 1055-1067.

DOI：10.1109/TNNLS.2016.2518479

• Exponential synchronization
• Lyapunov-Krasovskii functional
• neural network
• pinning impulsive control
• reaction-diffusion
• time delay

This paper investigates the exponential synchronization of reaction-diffusion neural networks with time-varying delays subject to Dirichlet boundary conditions. A novel type of pinning impulsive controllers is proposed to synchronize the reaction-diffusion neural networks with time-varying delays. By applying the Lyapunov functional method, sufficient verifiable conditions are constructed for the exponential synchronization of delayed reaction-diffusion neural networks with large and small delay sizes. It is shown that synchronization can be realized by pinning impulsive control of a small portion of neurons of the network; the technique used in this paper is also applicable to reaction-diffusion networks with Neumann boundary conditions. Numerical examples are presented to demonstrate the effectiveness of the theoretical results.

• 出版日期2017-5