Stability analysis of fractional-order Hopfield neural networks with time delays

被引：137
|
作者：
Wang, Hu [1 ]
Yu, Yongguang [1 ]
Wen, Guoguang [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
NEURAL NETWORKS | 2014年 / 55卷
基金：
中国国家自然科学基金;
关键词：
Hopfield neural networks; Stability; Fractional-order; Time delays; Hub structure; Ring structure; NEURONAL NETWORKS; RING NETWORK; CHAOS; SYNCHRONIZATION; DYNAMICS; PATTERNS; HUB;
D O I：
10.1016/j.neunet.2014.03.012
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 stability for fractional-order Hopfield neural networks with time delays. Firstly, the fractional-order Hopfield neural networks with hub structure and time delays are studied. Some sufficient conditions for stability of the systems are obtained. Next, two fractional-order Hopfield neural networks with different ring structures and time delays are developed. By studying the developed neural networks, the corresponding sufficient conditions for stability of the systems are also derived. It is shown that the stability conditions are independent of time delays. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results obtained in this paper. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：98 / 109
页数：12
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