Passivity and Synchronization of Coupled Reaction-Diffusion Complex-Valued Memristive Neural Networks

被引：42

作者：

Huang, Yanli ^{[1
]}

Hou, Jie ^{[1
]}

Yang, Erfu ^{[2
]}

机构：

[1] Tiangong Univ, Sch Comp Sci & Technol, Tianjin Key Lab Optoelect Detect Technol & Syst, Tianjin 300387, Peoples R China

[2] Univ Strathclyde, Fac Engn, Dept Design, Glasgow G1 1XJ, Lanark, Scotland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 379卷

基金：

“创新英国”项目; 中国国家自然科学基金; 北京市自然科学基金;

关键词：

State coupling; Spatial diffusion coupling; Memristive neural networks; Synchronization; Passivity; GLOBAL EXPONENTIAL SYNCHRONIZATION; PINNING CONTROL; PERIODICITY; SYSTEMS; DELAYS;

D O I：

10.1016/j.amc.2020.125271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers two types of coupled reaction-diffusion complex-valued memristive neural networks (CRDCVMNNs). The nodes of the first type CRDCVMNN are coupled through their state and the second one is coupled by spatial diffusion coupling term. For the former, some novel criteria for the passivity and synchronization are derived by constructing an appropriate controller and utilizing some inequality techniques as well as Lyapunov functional method. For the latter, we establish some sufficient conditions which guarantee that this type of CRDCVMNNs can realize passivity and synchronization. Finally, the effectiveness and correctness of the acquired theoretical results are verified by two numerical examples. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：22

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