| 时滞BAM神经网络周期振荡解的存在性和指数收敛性 |
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| 引用本文： | 武怀勤,孙建枝,刁迎红. 时滞BAM神经网络周期振荡解的存在性和指数收敛性[J]. 五邑大学学报(自然科学版), 2008, 22(1): 30-34 |
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| 作者姓名： | 武怀勤 孙建枝 刁迎红 |
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| 作者单位： | 燕山大学理学院,河北,秦皇岛,066004 |
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| 摘 要： | 应用Banach空间的不动点定理并通过构造适当的Lyapunov函数，结合一些分析的技巧研究了时滞BAM神经网络周期振荡解的存在性和指数收敛性．导出的充分判据无论对网络应用还是设计都具有重要的意义，运用代数的方法易于检验导出的条件．最后，通过实例说明所得结果的有效性，
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| 关 键 词： | 双向联想记忆神经网络 时滞 周期振荡解 指数收敛 |
| 文章编号： | 1006-7302（2008）01-0030-05 |
| 收稿时间： | 2007-05-09 |
| 修稿时间： | 2007-05-09 |
Existence and Convergence of Periodic Oscillatory Solution for BAM Neural Networks with Delays |
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| WU Huai-qin,SUN lian-zhi,DIAO Ying-hong. Existence and Convergence of Periodic Oscillatory Solution for BAM Neural Networks with Delays[J]. Journal of Wuyi University(Natural Science Edition), 2008, 22(1): 30-34 |
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| Authors: | WU Huai-qin SUN lian-zhi DIAO Ying-hong |
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| Affiliation: | (College of Science, Yanshan University, Qinhuangdao 066004, China) |
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| Abstract: | Existence and exponential convergence of periodic oscillatory solution for BAM neural networks with delays is discussed by using fixed-point theorem, constructing suitable Lyapunov functions, and some analysis techniques. Some sufficient conditions are derived which are of great significance in the design and applications of BAM with delays. The conditions are easy to check in practice by simple algebraic methods. Finally, an example is given to illustrate the effectiveness of our result. |
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| Keywords: | BAM neural networks delay periodic oscillatory solution exponential convergence |
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