| 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 |
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| 引用本文： | 蒲浩,蒋海军,胡成,冉杰,张转周.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[J].西南农业大学学报,2018,40(11):67-73. |
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| 作者姓名： | 蒲浩 蒋海军 胡成 冉杰 张转周 |
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| 作者单位： | 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 |
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| 基金项目： | 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）. |
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| 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.
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| 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 |
| 收稿时间： | 2017/6/5 0:00:00 |
Finite-Time Control Synchronization for High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays |
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| PU Hao,JIANG Hai-Jun,HU Cheng,RAN Jie,ZHANG Zhuan-zhou.Finite-Time Control Synchronization for High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays[J].Journal of Southwest Agricultural University,2018,40(11):67-73. |
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| Authors: | PU Hao JIANG Hai-Jun HU Cheng RAN Jie ZHANG Zhuan-zhou |
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| Affiliation: | 1. School of Mathematics, Zunyi Normal College, Zunyi Guizhou 563002, China;2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China |
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| Abstract: | 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. |
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| Keywords: | high-order Hopfield neural network stochastic perturbation term time-varying delay finite time synchronization p-norm |
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