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

IEEE Trans Neural Netw Learn Syst. 2017 May;28(5):1055-1067. doi: 10.1109/TNNLS.2016.2518479. Epub 2016 Feb 8.


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.