一类分数阶时滞神经网络的有限时间同步行为分析Finite-time Synchronization Analysis for a Class of Fractional-order Delayed Neural Networks
王爽,张玮玮,张红梅,张海
摘要(Abstract)：
分数阶时滞神经网络在信息科学、图像处理等领域具有重要应用,研究分数阶时滞神经网络的有限时间同步问题具有重要意义。首先,利用H?lder不等式提出一个关于上升函数的不等式;其次,利用不等式技巧和线性反馈控制器,得到阶数在1<α<2情形下分数阶时滞神经网络有限时间同步的充分条件;最后,给出数值案例,实验结果证实了所得结果的有效性和可行性。
关键词(KeyWords)： 分数阶神经网络;有限时间同步;H?lder不等式;控制器
基金项目(Foundation): 安徽省自然科学基金面上项目（1908085MA01）;; 安徽省优秀青年人才项目（gxyq2019048）
作者(Author): 王爽,张玮玮,张红梅,张海
DOI: 10.13757/j.cnki.cn34-1328/n.2021.03.002
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