| 时滞型脉冲神经网络的全局指数稳定性(英文) |
| |
| 引用本文： | 杨逢建,张超龙,吴东庆,杨建富,陈新明.时滞型脉冲神经网络的全局指数稳定性(英文)[J].大学数学,2010,26(1). |
| |
| 作者姓名： | 杨逢建 张超龙 吴东庆 杨建富 陈新明 |
| |
| 作者单位： | 仲恺农业工程学院计算科学系,广州,510225 |
| |
| 基金项目： | Science and technology plan Foundation of Guangzhou under Grant(2006j1-C0341) |
| |
| 摘 要： | 对一类含时滞的脉冲神经网络平衡点的存在性和稳定性进行了研究.在不假定激励函数有界、单调或可微而仅假定激励函数Lipschitz连续的条件下,利用压缩映像原理证明了系统平衡点的存在性,利用右上Dini导数的性质并通过构造适当的Lyapunov函数得到了平衡点全局指数稳定的充分条件.文末通过实例说明了所获结论的有效性.
|
| 关 键 词： | 脉冲 时滞 神经网络 全局指数稳定性 |
Global Stability of Neural Networks with Delays and Impulses |
| |
| YANG Feng-jian,ZHANG Chao-long,Wu Dong-qing,YANG Jian-fu,CHEN Xin-ming.Global Stability of Neural Networks with Delays and Impulses[J].College Mathematics,2010,26(1). |
| |
| Authors: | YANG Feng-jian ZHANG Chao-long Wu Dong-qing YANG Jian-fu CHEN Xin-ming |
| |
| Institution: | Computational Science Department of Zhongkai University of Agriculture and Engineering;Guangzhou 510225;China |
| |
| Abstract: | This paper is concerned with a class of neural networks with delays and inpulses.Sufficient conditions are obtained for the existence and global exponential stability of a unique equilibrium without assuming the activation function to be bounded,monotonic or differentiable.An illustrative example is given to demonstrate the effectiveness of the obtained results. |
| |
| Keywords: | impulses delays neural networks global exponential stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
