| 参数不匹配下含有泄露时滞与多个传输时滞的分数阶忆阻器神经网络的拟同步 |
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| 引用本文： | 张建梅,包海波,曹进德.参数不匹配下含有泄露时滞与多个传输时滞的分数阶忆阻器神经网络的拟同步[J].南京气象学院学报,2019,11(4):428-434. |
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| 作者姓名： | 张建梅 包海波 曹进德 |
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| 作者单位： | 西南大学 数学与统计学院, 重庆, 400715,西南大学 数学与统计学院, 重庆, 400715,东南大学 数学学院, 南京, 210096 |
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| 基金项目： | 国家自然科学基金（61573291，61573096） |
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| 摘 要： | 本文主要讨论了一类在参数不匹配之下带有多个传输时滞与泄露时滞的分数阶忆阻器神经网络的拟同步问题.首先，给出了时滞线性反馈控制器；然后，根据分数阶微分包含、集合值映射理论和分数阶微分不等式理论等，得出了主从系统达到拟同步所满足的条件以及所对应的误差边界；最后，给出了一些数值模拟验证所得结论的有效性.
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| 关 键 词： | 分数阶 神经网络 拟同步 泄露时滞 |
| 收稿时间： | 2019/6/13 0:00:00 |
Quasi-synchronization of fractional-order memristor-based neural networks with leakage delay under parameter mismatches |
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| ZHANG Jianmei,BAO Haibo and CAO Jinde.Quasi-synchronization of fractional-order memristor-based neural networks with leakage delay under parameter mismatches[J].Journal of Nanjing Institute of Meteorology,2019,11(4):428-434. |
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| Authors: | ZHANG Jianmei BAO Haibo and CAO Jinde |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715,School of Mathematics and Statistics, Southwest University, Chongqing 400715 and School of Mathematics, Southeast University, Nanjing 210096 |
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| Abstract: | In this paper,we mainly discuss the quasi-synchronization problem of a class of fractional-order memristor-based neural networks with multiple transmission delays and leakage delay under parameter mismatches.Firstly,the delay linear feedback controller is given,then according to the theory of fractional-order differential inclusion,set-valued maps,fractional-order differential inequality theory and so on,the conditions for the master-slave systems to reach the quasi-synchronization and the corresponding error bounds are obtained.Finally,some corresponding numerical simulations are given to demonstrate the effectiveness of the obtained results. |
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| Keywords: | fractional-order neural networks quasi-synchronization leakage delay |
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