Exponential -Synchronization of Non-autonomous Cohen-Grossberg Neural Networks with Reaction-Diffusion Terms via Periodically Intermittent Control

被引：0

作者：

Mei, Jun ^{[1
]}

Jiang, Minghui ^{[1
]}

Wang, Bin ^{[1
]}

Liu, Qing ^{[1
]}

Xu, Wangming ^{[1
]}

Liao, Tao ^{[1
]}

机构：

[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hunan, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2014年 / 40卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Cohen-Grossberg neural networks; Exponential synchronization; Reaction-diffusion; Periodically intermittent control; TIME-VARYING DELAYS; STABILITY ANALYSIS; CHAOTIC SYSTEMS; NONLINEAR-SYSTEMS; STABILIZATION; DISCRETE;

D O I：

10.1007/s11063-013-9313-x

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The problem of -synchronization for a class of stochastic non-autonomous reaction-diffusion Cohen-Grossberg networks with mixed delays by using periodically intermittent feedback control is investigated in this paper. Some exponential synchronization criteria based on -norm are obtained by utilizing some analysis methods. These proofs indirectly generalized the Halanay inequality and facilitated the proof processing of the existing works. Finally, an illustrative example is given to show the effectiveness of the theoretical results.

引用

页码：103 / 126

页数：24

共 46 条

[1]

[Anonymous], 1996, DIFFERENTIAL EQUATIO

[2] Bounded stability of the quiet standing posture: An intermittent control model [J].

Bottaro, Alessandra ;

Yasutake, Youko ;

Nomura, Taishin ;

Casadio, Maura ;

Morasso, Pietro .

HUMAN MOVEMENT SCIENCE, 2008, 27 (03) :473-495

[3] Exponential synchronization of complex networks with nonidentical time-delayed dynamical nodes [J].

Cai, Shuiming ;

He, Qinbin ;

Hao, Junjun ;

Liu, Zengrong .

PHYSICS LETTERS A, 2010, 374 (25) :2539-2550

[4] Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit [J].

Cai, Shuiming ;

Liu, Zengrong ;

Xu, Fengdan ;

Shen, Jianwei .

PHYSICS LETTERS A, 2009, 373 (42) :3846-3854

[5] ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].

COHEN, MA ;

GROSSBERG, S .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826

[6]

Cui B, 2007, CHAOS SOLITON FRACT, V39, P288

[7] Chaos synchronization by using intermittent parametric adaptive control method [J].

Dai, D ;

Ma, XK .

PHYSICS LETTERS A, 2001, 288 (01) :23-28

[8] Exponential synchronization of stochastic Cohen-Grossberg neural networks with mixed time-varying delays and reaction-diffusion via periodically intermittent control [J].

Gan, Qintao .

NEURAL NETWORKS, 2012, 31 :12-21

[9] NONLINEAR NEURAL NETWORKS - PRINCIPLES, MECHANISMS, AND ARCHITECTURES [J].

GROSSBERG, S .

NEURAL NETWORKS, 1988, 1 (01) :17-61

[10] Exponential synchronization for reaction-diffusion networks with mixed delays in terms of p-norm via intermittent driving [J].

Hu, Cheng ;

Yu, Juan ;

Jiang, Haijun ;

Teng, Zhidong .

NEURAL NETWORKS, 2012, 31 :1-11

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