Passivity and synchronization of coupled reaction-diffusion Cohen-Grossberg neural networks with state coupling and spatial diffusion coupling

被引：31

作者：

Chen, Weizhong ^{[1
]}

Huang, Yanli ^{[1
]}

Ren, Shunyan ^{[2
]}

机构：

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

[2] Tianjin Polytech Univ, Sch Mech Engn, Tianjin 300387, Peoples R China

来源：

NEUROCOMPUTING | 2018年 / 275卷

基金：

中国国家自然科学基金;

关键词：

Coupled Cohen-Grossberg neural networks; State coupling; Spatial diffusion coupling; Passivity; Synchronization; SAMPLED-DATA SYNCHRONIZATION; ROBUST SYNCHRONIZATION; EXPONENTIAL STABILITY; DYNAMICAL NETWORKS; MIXED DELAYS; ARRAY; TERMS; CRITERIA; SYSTEMS;

D O I：

10.1016/j.neucom.2017.09.063

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 deals with the passivity and synchronization problems for two types of coupled reaction-diffusion Cohen-Grossberg neural networks (CRDCGNNs). On the one side, a CRDCGNNs model with state coupling is introduced, and several sufficient conditions which ensure the passivity and synchronization of this type of network are deduced respectively by resorting to some inequality techniques and Lyapunov functional method. On the other side, considering that the different diffusion of each node may give rise to different changes of other nodes in reaction-diffusion networks, we also carry out some investigations on the passivity and synchronization of CRDCGNNs with spatial diffusion coupling. Finally, the correctness of the obtained research results are corroborated by two illustrative examples. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1208 / 1218

页数：11

共 54 条

[1] Intermittent synchronization of reaction-diffusion neural networks with mixed delays via Razumikhin technique [J].

Chen, Wu-Hua ;

Liu, Lijun ;

Lu, Xiaomei .

NONLINEAR DYNAMICS, 2017, 87 (01) :535-551

[2] Impulsive Synchronization of Reaction-Diffusion Neural Networks With Mixed Delays and Its Application to Image Encryption [J].

Chen, Wu-Hua ;

Luo, Shixian ;

Zheng, Wei Xing .

IEEE Transactions on Neural Networks and Learning Systems, 2016, 27 (12) :2696-2710

[3] Global asymptotic stability of delayed Cohen-Grossberg neural networks [J].

Chen, Y .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (02) :351-357

[4] Pinning sampled-data synchronization of coupled inertial neural networks with reaction-diffusion terms and time-varying delays [J].

Dharani, S. ;

Rakkiyappan, R. ;

Park, Ju H. .

NEUROCOMPUTING, 2017, 227 :101-107

[5] New stability criteria for Cohen-Grossberg neural networks with time delays [J].

Hu, L. ;

Gao, H. ;

Shi, P. .

IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (09) :1275-1282

[6] Synchronization control for arrays of coupled discrete-time delayed Cohen-Grossberg neural networks [J].

Li, Tao ;

Song, Aiguo ;

Fei, Shumin .

NEUROCOMPUTING, 2010, 74 (1-3) :197-204

[7] Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks [J].

Liang, Jinling ;

Wang, Zidong ;

Liu, Yurong ;

Liu, Xiaohui .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (11) :1910-1921

[8] Robust impulsive synchronization of uncertain dynamical networks [J].

Liu, B ;

Liu, XZ ;

Chen, GR ;

Wang, HY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (07) :1431-1441

[9] Synchronization in Complex Networks With Stochastically Switching Coupling Structures [J].

Liu, Bo ;

Lu, Wenlian ;

Chen, Tianping .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (03) :754-760

[10]

Liu Q. M., 2012, ABSTR APPL ANAL, V2012, P1

← 1 2 3 4 5 6 →