| 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. |
| 关键词: 神经网络,稳定性,延迟,极限环. |
| DOI： |
| 分类号: |
| 基金项目:本文研究得到国家自然科学基金资助。 |
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| Matrix Criterion for Dynamic Analysis in Discrete Neural Networks with Delay |
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QIU Shen-shan,XU Xiao-fei,LI Chun-sheng,LIU Ming-zhu
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| 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. |
| Key words: Neural network, stability, delay, cycle. |
