带脉冲的随机Hopfield型神经网络的p阶矩稳定性  

The p-moment Stability for Stochastic Hopfield-type Neural Networks with Impulses

作　　者：卢俊香[1] 段献葆[2] 付蓉[1] 

机构地区：[1]西安工程大学理学院,西安710048 [2]西安理工大学理学院,西安710048

出　　处：《工程数学学报》2010年第4期741-746,共6页Chinese Journal of Engineering Mathematics

基　　金：The Science Foundation for Youths of Shanxi Province(2010JQ1016);the National Natural Science Foundation of China(10926152);the Science Research Foundation of Department of Education of Shaanxi Province(9JK613)

摘　　要：本文主要研究p阶矩意义下带脉冲的随机Hopfield型神经网络平衡点的随机指数稳定性。通过构造适当的Lyapunov泛函和利用随机分析理论,推导出平衡点稳定满足的条件。结果以不等式形式给出,使得结论更容易被验证。而且,本文给出求解算法,通过一数值算例,验证了算法的有效性。The paper mainly concerns the stochastically exponential stability in the p-moment of the equilibrium point for a class of stochastic Hopfield-type neural networks with impulses （SHNNswI）, by constructing a Lyapunov functional and using the theory of stochastic analysis. The results is given in the form of inequalities, they can be verified much more easily. Furthermore, the algorithm is given, whose effciency is illustrated by an example.

关 键 词：HOPFIELD型神经网络 ITO公式 LYAPUNOV泛函 随机稳定性 

分 类 号：O211.63[理学—概率论与数理统计] O175.13[理学—数学]