| 多比例时滞杂交双向联想记忆神经网络的全局指数稳定性 |
| |
| 引用本文： | 翁良燕,周立群.多比例时滞杂交双向联想记忆神经网络的全局指数稳定性[J].天津师范大学学报(自然科学版),2012,32(3):18-23. |
| |
| 作者姓名： | 翁良燕 周立群 |
| |
| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
| |
| 摘 要： | 考虑多比例时滞杂交双向联想记忆神经网络的全局指数稳定性．应用Brouwer不动点定理证明了多比例时滞杂交双向联想记忆神经网络平衡点的存在性，再通过构造合适的Lyapunov泛函，获得了该系统平衡点全局指数稳定的时滞依赖的充分条件，该条件蕴含系统平衡点的唯一性，并给出了一个例子说明结论的有效性．
|
| 关 键 词： | 神经网络 双向联想记忆 比例时滞 全局指数稳定性 Lyapunov泛函 |
Global exponential stability of hybrid bi-directional associative memory neural networks with multi-pantograph delays |
| |
| WENG Liang-yan
,
ZHOU Li-qun.Global exponential stability of hybrid bi-directional associative memory neural networks with multi-pantograph delays[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(3):18-23. |
| |
| Authors: | WENG Liang-yan ZHOU Li-qun |
| |
| Affiliation: | College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China |
| |
| Abstract: | The global exponential stability of hybrid bi-directional associative memory （BAM） neural networks with multi-pantograph delays is studied. By using Brouwer fixed point theorem, the existence of equilibrium point of this system is proved. And a delay-dependent sufficient condition is derived for the global exponential stability of this system based on the construction of suitable Lyapunov functional. This condition implies the uniqueness of equilibri-um point of this system. And an example is uiven to illustrate the effectiveness of the results. |
| |
| Keywords: | neural networks BAM pantograph delays global exponential stability Lyapunov functional |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
