具有脉冲效应和Leakage项时滞的随机扰动模糊细胞神经网络的指数同步  

Exponential Synchronization of Stochastic Perturbation Fuzzy Cellular Neural Networks with Leakage Delay Terms and Impulsive Effects

作　　者：蒲浩 张转周 赵爱亮 王来全[2] 

机构地区：[1]遵义师范学院数学学院,贵州遵义563006 [2]昌吉职业技术学院基础部,新疆昌吉831100

出　　处：《安徽师范大学学报（自然科学版）》2017年第6期529-537,共9页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(71461027);贵州省科技计划课题(黔科合LH字[2015]7053号)

摘　　要：研究了具有脉冲效应和Leakage项时滞的随机扰动模糊细胞神经网络的指数同步,通过李雅普诺夫稳定性理论、随机微分方程理论、随机分析法、It?'s公式及一些不等式方法,基于p-范数下得到了新的指数同步的充分条件.在本文中所考虑的脉冲效应是一般函数,而不是线性函数;还发现随机扰动和Leakage项时滞对系统同步有抑制作用.In this paper,we study the exponential synchronization of stochastic perturbation fuzzy cellular neural networks with Leakage terms delay and impulsive effects. By the Lyapunov stability theory,the theory of stochastic differential equation,stochastic analysis methods,the It?'s formula and some inequality methods,some new and useful sufficient conditions on the exponential synchronization are obtained based on p-norm. The impulse effects in this paper is a general function,not a linear function. It is also found that stochastic perturbation term and Leakage time delays have an inhibitory effect on the synchronization of the system.

关 键 词：随机扰动 Leakage项时滞 模糊细胞神经网络 脉冲效应 Ito’s公式 混合时滞 p-范数. 

分 类 号：O175.1[理学—数学]