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

被引：89

作者：

Liu, Xinzhi ^{[1
]}

Zhang, Kexue ^{[1
]}

Xie, Wei-Chau ^{[2
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[2] Univ Waterloo, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2017年 / 28卷 / 05期

关键词：

Exponential synchronization; Lyapunov-Krasovskii functional; neural network; pinning impulsive control; reaction-diffusion; time delay; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; MIXED DELAYS; STABILIZATION; SYSTEMS;

D O I：

10.1109/TNNLS.2016.2518479

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：1055 / 1067

页数：13

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