| THE STABILITY OF A KIND OF DISCRETE-TIME HOPFIELD NEURAL NETWORKS WITH ASYMPTOTICAL WEIGHTED MATRICES |
| |
| 作者姓名： | Guo Shujuan Ruan Jiong Tu Qingwei |
| |
| 作者单位： | Dept. of Informal Science，Jiangsu Polytechnic University，Changzhou 213164; Dept. of Math.，Fudan University，Shanghai 200433 |
| |
| 摘 要： | In this paper, the authors analyze the stability of a kind of discrete-time Hopfield neural network with asymptotical weighted matrix, which can be expressed as the product of a positive definite diagonal matrix and a symmetric matrix. We obtain that it has asymptotically stable equilibriums if the network is updated asynchronously, and asymptotically stable equilibriums or vibrating final stage with 2 period if updated synchronously. To prove these, Lassale's invariance principle in difference equation is applied.
|
| 关 键 词： | 神经网络 Lassale恒定原理 不对称权重矩阵 平衡性 |
THE STABILITY OF A KIND OF DISCRETE-TIME HOPFIELD NEURAL NETWORKS WITH ASYMPTOTICAL WEIGHTED MATRICES |
| |
| Guo Shujuan Ruan Jiong Tu Qingwei.THE STABILITY OF A KIND OF DISCRETE-TIME HOPFIELD NEURAL NETWORKS WITH ASYMPTOTICAL WEIGHTED MATRICES[J].微分方程年刊(英文版),2006,22(4):489-495. |
| |
| Authors: | Guo Shujuan Ruan Jiong Tu Qingwei |
| |
| Institution: | [1]Dept. of Informal Science, Jiangsu Polytechnic University, Changzhou 213164 [2]Dept. of Math., Fudan University, Shanghai 200433 |
| |
| Abstract: | In this paper, the authors analyze the stability of a kind of discrete-time Hopfield neural network with asymptotical weighted matrix, which can be expressed as the product of a positive definite diagonal matrix and a symmetric matrix. We obtain that it has asymptotically stable equilibriums if the network is updated asynchronously, and asymptotically stable equilibriums or vibrating final stage with 2 period if updated synchronously. To prove these, Lassale's invariance principle in difference equation is applied. |
| |
| Keywords: | Hopfield neural network Lassale's invariance principle asymmetric weighted matrix equilibriums asymptotic stable vibration |
| 本文献已被 CNKI 维普 等数据库收录！ |
