具有变时滞的高阶随机Hopfield神经网络在有限时间内的控制同步  

Finite-Time Control Synchronization for High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays

作　　者：蒲浩 蒋海军[2] 胡成[2] 冉杰 张转周 PU Hao;JIANG Hai-Jun;HU Cheng;RAN Jie;ZHANG Zhuan-zhou(School of Mathematics,Zunyi Normal College,Zunyi Guizhou 563002,China;College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[1]遵义师范学院数学学院,贵州遵义563002 [2]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《西南大学学报（自然科学版）》2018年第11期67-73,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(71461027);贵州省教育厅青年科技人才成长项目(黔教合KY字[2018]313号,黔教合KY字[2018]315号,黔教合KY字[2017]255号,黔教合KY字[2017]256号)

摘　　要：研究了具有变时滞的高阶随机Hopfield神经网络在有限时间内的控制同步.通过李雅普诺夫函数,有限时间内稳定性理论,随机微分方程理论和一些不等式方法,基于p-范数得到了新的有限时间内同步的充分条件.本文结论是对之前相关结论的推广.In this paper,we study the finite-time control synchronization for high-order stochastic Hopfield neural networks with time-varying delays.Through the Lyapunov function,the finite time stability theory,the theory of stochastic differential equation and some inequality methods,some new and useful sufficient conditions on the in finite-time synchronization are obtained based on p-norm.The conclusion of this paper is the generalization of the previous related conclusions.

关 键 词：高阶Hopfield神经网络 随机扰动项 变时滞 有限时间内同步 p-范数 

分 类 号：O175.1[理学—数学]