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 |
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引用本文: | 蒲浩,张转周,赵爱亮,王来全.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[J].安徽师范大学学报(自然科学版),2017,40(6):529-537. |
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作者姓名: | 蒲浩 张转周 赵爱亮 王来全 |
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作者单位: | 遵义师范学院 数学学院,贵州 遵义,563006;昌吉职业技术学院 基础部,新疆 昌吉,831100 |
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基金项目: | 国家自然科学基金项目,贵州省科技计划课题 |
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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.
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关 键 词: | 随机扰动 Leakage项时滞 模糊细胞神经网络 脉冲效应 It?’s公式 混合时滞 p-范数. |
Exponential Synchronization of Stochastic Perturbation Fuzzy CellularNeural Networks with Leakage Delay Terms and Impulsive Effects |
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Abstract: | 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. |
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Keywords: | stochastic perturbation term leakage delay term fuzzy cellular neural networks impulsive effect It?'s formula mixed time delay p-norm |
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