Global exponential synchronization of delayed memristive neural networks with reaction-diffusion terms

被引：94
作者：
Cao, Yanyi [1 ]
Cao, Yuting [2 ]
Guo, Zhenyuan [2 ]
Huang, Tingwen [3 ]
Wen, Shiping [1 ]
机构：
[1] Univ Technol Sydney, Ctr Artificial Intelligence, Sydney, NSW 2007, Australia
[2] Hunan Univ, Coll Math & Econometr, Changsha, Peoples R China
[3] Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar
来源：
NEURAL NETWORKS | 2020年 / 123卷
关键词：
Global exponential synchronization; Delayed memristive neural networks; Reaction-diffusion terms; Pinning control technique; TIME-VARYING DELAYS; LAG SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; STABILITY ANALYSIS; PASSIVITY ANALYSIS; PINNING CONTROL; MISMATCH; SYSTEMS; DEVICE;
D O I：
10.1016/j.neunet.2019.11.008
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 global exponential synchronization problem of delayed memristive neural networks (MNNs) with reaction-diffusion terms. First, by utilizing the pinning control technique, two novel kinds of control methods are introduced to achieve synchronization of delayed MNNs with reaction-diffusion terms. Then, with the help of inequality techniques, pinning control technique, the drive-response concept and Lyapunov functional method, two sufficient conditions are obtained in the form of algebraic inequalities, which can be used for ensuring the exponential synchronization of the proposed delayed MNNs with reaction-diffusion terms. Moreover, the obtained results based on algebraic inequality complement and improve the previously known results. Finally, two illustrative examples are given to support the effectiveness and validity of the obtained theoretical results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：70 / 81
页数：12
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