| 具有周期输入Hopfield型神经网络的全局渐近性质 |
| |
| 引用本文： | 向兰,周进,刘曾荣,孙姝. 具有周期输入Hopfield型神经网络的全局渐近性质[J]. 应用数学和力学, 2002, 23(12): 1220-1226 |
| |
| 作者姓名： | 向兰 周进 刘曾荣 孙姝 |
| |
| 作者单位： | 1.河北工业大学物理系, 天津 300130; |
| |
| 摘 要： | 在不假定非线性激励函数有界和可微的条件下,应用Mawhin的重合度理论及Liapunov函数法给出一类具有周期输入的Hopfield型神经网络存在周期解及其全局指数稳定的充分条件。
|
| 关 键 词： | Hopfield网络 周期解 全局指数稳定 重合度 Liapunov函数 |
| 文章编号： | 1000-0887(2002)12-1220-07 |
| 收稿时间： | 2001-07-24 |
| 修稿时间： | 2001-07-24 |
On the Asymptotic Behavior of Hopfield Neural Network With Periodic Inputs |
| |
| XIANG Lan ,ZHOU Jin ,,LIU Zeng_rong ,SUN Shu. On the Asymptotic Behavior of Hopfield Neural Network With Periodic Inputs[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1220-1226 |
| |
| Authors: | XIANG Lan ZHOU Jin LIU Zeng_rong SUN Shu |
| |
| Affiliation: | 1.Department of Physics, Hebei University of Technology, Tianjin 300130, P R China;2.Department of Mathematics, Shanghai University, Shang-hai 200436, P R China;3.Naval Submarine Academy, Qingdao 266071, P R China |
| |
| Abstract: | Without assuming the boundedness and differentiability of the nonlinear activation functions, the new sufficient conditions of the existence and the global exponential stability of periodic solutions for Hopfield neural network with periodic inputs are given by using Mawhin's coincidence degree theory and Liapunov's function method. |
| |
| Keywords: | Hopfield neural network periodic solution global exponential stability coincidence degree Liapunov function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
