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DOI:
Journal of Software:1999.10(10):1108-1113

延迟离散神经网络动态特征的矩阵判据
邱深山,徐晓飞,李春生,刘明珠
(哈尔滨工业大学计算机科学与工程系,哈尔滨,150001;大庆石油学院计算机科学系,安达,151400)
Matrix Criterion for Dynamic Analysis in Discrete Neural Networks with Delay
QIU Shen-shan,XU Xiao-fei,LI Chun-sheng,LIU Ming-zhu
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Received:September 03, 1998    Revised:December 03, 1998
> 中文摘要: 该文利用延迟离散网络的状态转移方程与矩阵不等式的等价性研究网络的动力学性质.对于具有任意连接权阵的网络,文章给出了周期为1和2的极限环存在的一些条件.同时,对于周期为1,2和4的一些特殊极限环给出了存在的条件,还得到了网络不存在任何不动点的充分条件,即只有极限环的充分条件.计算机模拟实验表明其结果是正确的.
Abstract:The dynamics of discrete neural network with delay are studied in this paper using a matrix inequality which is shown to be equivalent to the state transition equation of the network. For the network with arbitrary weight matrix, the conditions for the existence of cycle of length 1 and 2 are presented. Also, the conditions for the existence of special cycle of length 1, 2 and 4, for having no any stable states are achieved. Computer simulations demonstrate that the theoretical analysis is correct.
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基金项目:本文研究得到国家自然科学基金资助。 本文研究得到国家自然科学基金资助。
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邱深山,徐晓飞,李春生,刘明珠.延迟离散神经网络动态特征的矩阵判据.软件学报,1999,10(10):1108-1113

QIU Shen-shan,XU Xiao-fei,LI Chun-sheng,LIU Ming-zhu.Matrix Criterion for Dynamic Analysis in Discrete Neural Networks with Delay.Journal of Software,1999,10(10):1108-1113