| 具有时变时滞的Hopfield神经网络的全局指数稳定性及衰减速度估计 |
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| 引用本文： | 张俐杰. 具有时变时滞的Hopfield神经网络的全局指数稳定性及衰减速度估计[J]. 西北师范大学学报(自然科学版), 2007, 43(2): 1-4 |
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| 作者姓名： | 张俐杰 |
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| 作者单位： | 西北师范大学数学与信息科学学院 甘肃兰州730070 |
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| 摘 要： | 应用Razumikhin型稳定性定理讨论了具有时变时滞的Hopfield神经网络平衡点的全局指数稳定性,给出了系统全局指数稳定的时滞相关和时滞无关的充分条件,同时讨论了这类系统的衰减速度.最后,通过一个例子说明本文结果的优越性.
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| 关 键 词： | 神经网络 时变时滞 全局指数稳定 衰减速度 |
| 文章编号： | 1001-988X（2007）02-0001-04 |
| 修稿时间： | 2006-10-18 |
Global exponential stability of Hopfield neural networks with time-varying delay and the estimation of decay rate |
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| ZHANG Li-jie. Global exponential stability of Hopfield neural networks with time-varying delay and the estimation of decay rate[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2007, 43(2): 1-4 |
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| Authors: | ZHANG Li-jie |
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| Affiliation: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The Razumikhin type theorem is used to study the global exponential stability of Hopfield neural networks with time-varying delay.Sufficient conditions for both delay-independent and delay-dependent of the global exponential stability of this system are given,and the decay rate of such system is studied also.Finally,an illustration example is given to show the superiority of our results. |
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| Keywords: | neural network time-varying delay global exponential stability decay rate |
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