%0 Journal Article %T 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<br>Finite-Time Control Synchronization for High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays %A 蒲浩 %A 蒋海军 %A 胡成 %A 冉杰 %A 张转周< %A br> %A PU Hao %A JIANG Hai-Jun %A HU Cheng %A RAN Jie %A ZHANG Zhuan-zhou %J 西南大学学报(自然科学版) %D 2018 %R 10.13718/j.cnki.xdzk.2018.11.011 %X 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<i>p</i>-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.<br>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 <i>p</i>-norm. The conclusion of this paper is the generalization of the previous related conclusions %K 高阶Hopfield神经网络 %K 随机扰动项 %K 变时滞 %K 有限时间内同步 %K < %K i> %K p< %K /i> %K -范数< %K br> %K high-order Hopfield neural network %K stochastic perturbation term %K time-varying delay %K finite time synchronization %K < %K i> %K p< %K /i> %K -norm %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/11/20181110.htm