Synchronization of Reaction-Diffusion Neural Networks With Dirichlet Boundary Conditions and Infinite Delays

被引：90

作者：

Sheng, Yin ^{[1
,2
]}

Zhang, Hao ^{[3
,4
]}

Zeng, Zhigang ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Guangdong HUST Ind Technol Res Inst, Guangdong Prov Key Lab Digital Mfg Equipment, Wuhan 430074, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Key Lab Image Proc & Intelligent Control, Educ Minist China, Sch Automat, Wuhan 430074, Hubei, Peoples R China

[3] Huazhong Univ Sci & Technol, Natl Lab Optoelect, Wuhan 430074, Hubei, Peoples R China

[4] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Hubei, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2017年 / 47卷 / 10期

关键词：

Comparison; Dirichlet boundary condition; infinite delay; reaction-diffusion neural networks; synchronization; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; ADAPTIVE SYNCHRONIZATION; ASYMPTOTIC STABILITY; SWITCHING PARAMETERS; GENERAL-CLASS; SAMPLED-DATA; PASSIVITY; SYSTEMS; DISSIPATIVITY;

D O I：

10.1109/TCYB.2017.2691733

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with synchronization for a class of reaction-diffusion neural networks with Dirichlet boundary conditions and infinite discrete time-varying delays. By utilizing theories of partial differential equations, Green's formula, inequality techniques, and the concept of comparison, algebraic criteria are presented to guarantee master-slave synchronization of the underlying reaction-diffusion neural networks via a designed controller. Additionally, sufficient conditions on exponential synchronization of reaction-diffusion neural networks with finite time-varying delays are established. The proposed criteria herein enhance and generalize some published ones. Three numerical examples are presented to substantiate the validity and merits of the obtained theoretical results.

引用

页码：3005 / 3017

页数：13

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