具有随机扰动项和混合时滞的神经网络在有限时间内的控制同步  

Finite time synchronization of neural networks with stochastic perturbation term and mixed time delays

作　　者：蒲浩 蒋海军[2] 胡成[2] PU Hao JIANG Haijun HU Cheng(School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, China College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China)

机构地区：[1]遵义师范学院数学学院,贵州遵义563006 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《福州大学学报（自然科学版）》2017年第5期623-627,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(71461027);贵州省科技计划课题资助项目([2015]7053)

摘　　要：研究一类具有随机扰动项和混合时滞的神经网络在有限时间内的控制同步.通过李雅普诺夫稳定性理论、随机微分方程理论、伊藤公式以及一些不等式方法,在p-范数下得到了新的有限时间内同步的充分条件.We study the synchronization of neural networks with stochastic perturbation term and mixed time delays in finite time.By Lyapunov stability theory,the theory of stochastic differential equation,the Ito？＇s formula and some inequality methods,a new and useful sufficient condition on the in finite synchronization are obtained based on p-norm.

关 键 词：随机扰动项 伊藤公式 神经网络 混合时滞 有限时间内同步 p-范数 

分 类 号：O175.1[理学—数学]