| 具有无穷时滞的细胞神经网络的全局稳定性分析 |
| |
| 引用本文： | 张继业.具有无穷时滞的细胞神经网络的全局稳定性分析[J].应用数学和力学,2004,25(6):627-634. |
| |
| 作者姓名： | 张继业 |
| |
| 作者单位： | 西南交通大学 牵引动力国家重点实验室,成都 610031 |
| |
| 基金项目： | 国家自然科学基金资助项目(10272091) |
| |
| 摘 要： | 对具有无穷时滞的细胞神经网络平衡点的存在性、唯一性和全局渐近稳定性进行了分析．在放弃了激活函数的有界性、单调性和可微性假设的情况下，得到了系统的平衡点的存在性条件．利用向量Liapunov函数法的思想，构造适当的含有变时滞和无穷时滞的微分-积分不等式，通过对微分-积分不等式的稳定性分析，得到了神经网络系统的全局渐近稳定的充分条件．
|
| 关 键 词： | 神经网络 时滞 细胞神经网络 稳定性 |
| 文章编号： | 1000-0887(2004)06-0627-08 |
| 收稿时间： | 2002-02-28 |
| 修稿时间： | 2002年2月28日 |
Global Stability Analysis in Cellular Neural Networks With Unbounded Time Delays |
| |
| ZHANG Ji_ye.Global Stability Analysis in Cellular Neural Networks With Unbounded Time Delays[J].Applied Mathematics and Mechanics,2004,25(6):627-634. |
| |
| Authors: | ZHANG Ji_ye |
| |
| Institution: | National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, P. R. China |
| |
| Abstract: | Without assuming the boundedness and differentiability of the activation functions, the conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of cellular neural networks with unbounded time delays and variable delays were studied. Using the idea of vector Liapunov method, the intero_differential inequalities with unbounded delay and variable delays were constructed. By the stability analysis of the intero_differential inequalities, the sufficient conditions for global asymptotic stability of cellular neural networks were obtained. |
| |
| Keywords: | neural network time delay cellular neural network 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《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》下载免费的PDF全文 |
