| 具有周期输入的一类神经网络系统的周期解 |
| |
| 引用本文： | 董勤喜,黄先开.具有周期输入的一类神经网络系统的周期解[J].北京理工大学学报,1999,19(3):270-274. |
| |
| 作者姓名： | 董勤喜 黄先开 |
| |
| 作者单位： | 1. 北京理工大学应用力学系,北京 100081
2. 北京商学院数学教研室,北京,100037 |
| |
| 摘 要： | 目的 研究一类具有周期输入的广义Ｈｏｐｆｉｅｌｄ型连续神经网络系统周期解的存在性及其周期解唯一稳定的条件。方法 首先通过积分不等式和构造Ｖ泛函估计Ｈｏｐｆｉｅｌｄ型连续神经网络系统关于周期的先验界，然后利用Ｍａｗｈｉｎ的延拓定理导出其周期解的存在性。结果与结论 得到Ｈｏｐｆｉｅｌｄ型连续神经网络系统在周期解的两个充分条件，推广了有关献中的结论。
|
| 关 键 词： | Hopfield网络 延拓定理 周期解 稳定性 |
The Existence of Periodic Solutions for Hopfield Neural Network Equations with Periodic Input |
| |
| Dong Qinxi.The Existence of Periodic Solutions for Hopfield Neural Network Equations with Periodic Input[J].Journal of Beijing Institute of Technology(Natural Science Edition),1999,19(3):270-274. |
| |
| Authors: | Dong Qinxi |
| |
| Institution: | Dong Qinxi;
(Department of Applied Mechanics, Beijing Institute of Technology, Beijing; |
| |
| Abstract: | Aim To investigate the existence and stability of general Hopfield neural network equation with periodic input. Methods\ By using of the integral inequality and V function, the bound of periodic solution was estimated, then the Mawhin's topological method was used to obtain the existence of periodic solution. Results and Conclusion\ Two sufficient conditions to guarantee the existence of periodic solution for this network systems were obtained, and it extended the results in related literatures. |
| |
| Keywords: | Hopfield network continuation theorem periodic solution stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京理工大学学报》浏览原始摘要信息 |
| 点击此处可从《北京理工大学学报》下载免费的PDF全文 |
