| 具有跳跃的随机神经网络的均方稳定性 |
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| 引用本文： | 周秀君,杨启贵.具有跳跃的随机神经网络的均方稳定性[J].数学的实践与认识,2008,38(24). |
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| 作者姓名： | 周秀君 杨启贵 |
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| 作者单位： | 1. 广东纺织职业技术学院,广东,佛山,528041
2. 华南理工大学数学系,广州,510640 |
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| 摘 要： | 研究了一类新的具有脉冲跳跃的Hopfield神经网络系统模型,其中脉冲时刻的跳跃是由一般的随机序列所引起,通过运用Lyapunov函数方法,获取了一些新的均方稳定性结果.由于脉冲的跳跃使得不稳定的神经网络变成稳定,因而所得的结果也可以运用到其他相关领域.
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| 关 键 词： | 随机Hopfield网络 随机跳跃 均方稳定 Lyapunov函数 |
Mean Square Stability for Stochastic Hopfield Neural Networks with Jumps |
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| ZHOU Xiu-jun,YANG Qi-gui.Mean Square Stability for Stochastic Hopfield Neural Networks with Jumps[J].Mathematics in Practice and Theory,2008,38(24). |
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| Authors: | ZHOU Xiu-jun YANG Qi-gui |
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| Institution: | 1.Guangdong Institute of Textile Technology;Foshan 528041;China;2.Department of Mathematics;South China University of Technology;Guangzhou 510640;China |
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| Abstract: | This paper considers the problems of mean square stability for stochastic Hopfield neural networks with jumps driven by any stochastic sequence.By employing the Lyapunov functional methods,we present some new criteria mean square stability.It is that jumps can make a unstable stochastic Hopfield neural networks stable even uniformly asymptotically stable,and it is also true inversely.It is very important that such neural networks have been applied in other fields. |
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| Keywords: | stochastic Hopfield neural networks stochastic jump mean square stability Lyapunov function |
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