分数阶复值神经网络的自适应投影同步（英文）  

Adaptively Projective Synchronization of Fractional-order Complex-valued Neural Networks

作　　者：杨帅 于娟[1] 胡成[1] YANG Shuai, YU Juan, HU Cheng(School of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830046, Chin)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2018年第2期158-164,共7页Journal of Xinjiang University(Natural Science Edition)

基　　金：supported by National Natural Science Foundation of People Republic of China(11402223,61563048,61473244,U1703262)

摘　　要：本文基于自适应混合控制研究了一类分数阶复值神经网络的投影同步.首先,在复数域上构造了一个新的分数阶微分不等式;然后,通过设计新的自适应混合控制器,利用分数阶Lyapunov引理和复变函数理论,得到了分数阶复值神经网络自适应投影同步的充分条件;最后,通过数值模拟验证了理论结果的有效性.This paper is concerned with the projective synchronization problem of fractional-order complex-valued neural networks（FCVNNs）based on adaptive hybrid control.Firstly,a novel fractional-order differential inequality is introduced in the complex domain.Afterward,by designing a new adaptive hybrid control scheme and employing fractionalorder Lyapunov-like lemma and the theory of complex functions,several sufficient conditions are derived to ensure the realization of the adaptive projective synchronization of FCVNNs.Finally,a numerical example is given to demonstrate the effectiveness of the obtained results.

关 键 词：分数阶导数 复值神经网络 自适应混合控制 投影同步 

分 类 号：O175.7[理学—数学]