Convergence of discrete delayed Hopfield neural networks

被引：4

作者：

Ma, Runnian ^{[1
,2
]}

Xie, Yu ^{[2
]}

Zhang, Shengrui ^{[3
,4
]}

Liu, Wenbin ^{[5
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China

[2] AF Engn Univ, Telecommun Engn Inst, Xian 710077, Peoples R China

[3] Changan Univ, Sch Highway, Xian 710064, Peoples R China

[4] Dalian Univ, Univ Key Lab Informat Sci & Engn, Dalian 116622, Peoples R China

[5] Wenzhou Univ, Coll Comp Sci & Engn, Wenzhou 325035, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 11-12期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Neural networks; Updating equation; Energy function; Convergence; DYNAMIC-BEHAVIOR; STABILITY;

D O I：

10.1016/j.camwa.2008.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The discrete delayed Hopfield neural networks is an extension of the discrete Hopfield neural networks. In this paper, the convergence of discrete delayed Hopfield neural networks is mainly studied, and some results on the convergence are obtained by using Lyapunov function. Several new sufficient conditions for the delayed networks converging towards a limit cycle with period at most 2 are proved in parallel updating mode. Also, some conditions for the delayed networks converging towards a limit cycle with 2-period are investigated in parallel updating mode. All results established in this paper extend the previous results on the convergence of both the discrete Hopfield neural networks, and the discrete delayed Hopfield neural networks in parallel updating mode. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1869 / 1876

页数：8

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[3]

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[4]

Ma RN, 2002, CHINESE J ELECTRON, V11, P352

[5]

Qiu SS, 2000, IEEE SYS MAN CYBERN, P2545, DOI 10.1109/ICSMC.2000.884376

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