title: Pinning Impulsive Synchronization of Reaction-Diffusion Neural Networks With Time-Varying Delays.
abstract: 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.
authors.forename: Xinzhi
authors.initials: X
authors.lastname: Liu
authors.forename: Kexue
authors.initials: K
authors.lastname: Zhang
authors.forename: Wei-Chau
authors.initials: WC
authors.lastname: Xie