S-分布时滞随机神经网络的适定性和均方指数吸引性  

Well-posedness and Analysis of Mean-Square Exponential Attraction of Stochastic Neural Networks with S-type Distributed Delays

作　　者：刘芳[1] 孙小琪 王林山[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《滨州学院学报》2014年第6期7-13,共7页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(11171374);山东省自然科学基金重点资助项目(ZR2011AZ001)

摘　　要：考虑了一类S-分布时滞随机神经网络的动力学行为。利用不动点理论和不等式技巧,讨论了该网络的适定性,证明了其解的均方指数吸引性,给出了易于验证的吸引性判据。实例说明了结论的正确性。In this paper,the dynamical behavior of the stochastic neural networks with S-type distributed delays is focused.By using fixed points theory and inequality techniques,some conditions are obtained.Mean-square exponential attraction for stochastic neural networks with S-type distributed delays is discussed.The criteria which are easily checked are presented.An example is given to show the validity of the conclusion.

关 键 词：随机神经网络 S-分布时滞 不动点理论 适定性 均方指数吸引 

分 类 号：O175[理学—数学]