[1]谢惠琴,王全义.时延细胞神经网络的概周期解问题[J].华侨大学学报(自然科学版),2003,24(1):16-21.[doi:10.3969/j.issn.1000-5013.2003.01.003]
　Xie Huiqin,Wang Quanyi.Problem of Almost Periodic Solution to Cellular Neural Network with Time Delay[J].Journal of Huaqiao University(Natural Science),2003,24(1):16-21.[doi:10.3969/j.issn.1000-5013.2003.01.003]
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时延细胞神经网络的概周期解问题()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第24卷
期数:
2003年第1期
页码:
16-21
栏目:
出版日期:
2003-01-20

文章信息/Info

Title:
Problem of Almost Periodic Solution to Cellular Neural Network with Time Delay
文章编号:
1000-5013(2003)01-0016-06
作者:
谢惠琴; 王全义
华侨大学数学系; 华侨大学数学系 福建泉州362011; 福建泉州362011
Author(s):
Xie Huiqin;  Wang Quanyi
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
神经网络;  概周期解;  存在性;  全局指数稳定性
Keywords:
neural network;  almost periodic solution;  existence;  globally exponential stability
分类号:
O175.1
DOI:
10.3969/j.issn.1000-5013.2003.01.003
文献标志码:
A
摘要:
研究时延细胞神经网络的概周期解问题,巧妙地引入可调实参数 di>0 (i=1,2,…,n) .获得该神经网络存在唯一的概周期解的充分条件,以及所有其它解均指数地收敛于此概周期解的充分条件 .
Abstract:
A study is made on the problem of almost periodic solution to cellular neural network with time delay. By ingeniously leading in the adjustable real parameter d i >0( i=1,2,...,n ), the authors obtain sufficient condition for unique almost periodic solution to be existed in this neural network as well as sufficient condition for all other solutions to be exponentially converged on this almost periodic solution.

参考文献/References:

[1] 廖晓昕. 细胞神经网络的数学理论(I) [J]. 中国科学A辑, 1994(9):902-910.
[2] 廖晓昕. 细胞神经网络的数学理论(Ⅱ) [J]. 中国科学A辑, 1994, (10):1037-1046.
[3] 曹进德. 时延细胞神经网络的指数稳定性和周期解 [J]. 中国科学E辑, 2000(6):541-549.doi:10.3321/j.issn:1006-9275.2000.06.009.
[4] 陈安平, 黄立宏. Hopfield 神经网络的概周期解存在性和全局吸引性 [J]. 数学物理学报, 2001(4):505-511.doi:10.3321/j.issn:1003-3998.2001.04.012.
[5] He Chongyou. Almost periodic differential equation [M]. 北京:高等教育出版社, 1992.93-94.

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备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(01Q2R02)
更新日期/Last Update: 2014-03-23