Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms

被引：3

作者：

Wang, Wentao ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

impulsive high-order Hopfield neural networks; anti-periodic solution; exponential stability; time-varying delay; leakage term; STABILITY;

D O I：

10.1186/1687-1847-2013-273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents new results on anti-periodic solutions for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms. By employing a novel proof, some criteria are derived for guaranteeing the existence and exponential stability of the anti-periodic solution, which are new and complement previously known results. Moreover, a numerical simulation is given to show the effectiveness.

引用

页数：15

共 16 条

[1] On the general problem of stability for impulsive differential equations [J].

Akhmet, MU .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (01) :182-196

[2]

[Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892

[3]

[Anonymous], ELECT J DIFF EQU

[4] Existence and exponential stability of positive almost periodic solutions for high-order Hopfield neural networks [J].

Bing Xiao ;

Hua Meng .

APPLIED MATHEMATICAL MODELLING, 2009, 33 (01) :532-542

[5] LEARNING, INVARIANCE, AND GENERALIZATION IN HIGH-ORDER NEURAL NETWORKS [J].

GILES, CL ;

MAXWELL, T .

APPLIED OPTICS, 1987, 26 (23) :4972-4978

[6] On delayed impulsive Hopfield neural networks [J].

Guan, ZH ;

Chen, GR .

NEURAL NETWORKS, 1999, 12 (02) :273-280

[7] Delay-dependent stability criterion for delayed Hopfield neural networks [J].

Jiang, Yanhong ;

Yang, Bin ;

Wang, Jincheng ;

Shao, Cheng .

CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2133-2137

[8] ON THE TRAINING AND PERFORMANCE OF HIGH-ORDER NEURAL NETWORKS [J].

KARAYIANNIS, NB ;

VENETSANOPOULOS, AN .

MATHEMATICAL BIOSCIENCES, 1995, 129 (02) :143-168

[9]

Lakshmikantham V., 1989, World scientific, V6

[10] Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms [J].

Liu, Bingwen ;

Gong, Shuhua .

ABSTRACT AND APPLIED ANALYSIS, 2013,

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