Caputo分数阶时滞细胞神经网络的稳定性分析  

Stability of the Caputo Fractional Celluer Neural Networks with Delays

作　　者：罗欢 郝冰[1] 陈付彬[1] LUO Huan;HAO Bing;CHEN Fu-bin(Oxbridge College,Kunming University of Science and Technology,Kunming 650106,China)

机构地区：[1]昆明理工大学津桥学院,云南昆明650106

出　　处：《数学的实践与认识》2022年第7期248-255,共8页Mathematics in Practice and Theory

基　　金：云南省教育厅科学研究基金资助项目(2020J1233,2022J1097)。

摘　　要：研究了一类Caputo分数阶时滞细胞神经网络模型的稳定性.通过利用分数阶微积分中的常数变分法,得到了 Caputo分数阶时滞细胞神经网络解的差分形式,推导出模型的有界解和平衡点的存在性与唯一性,最后证明了神经网络的全局指数稳定性.In this paper,the stability of a Caputo fractional-order cellular neural network with delays is studied,the differential form of the solution of Caputo cellular neural network with delays is obtained by using the constant variational method in fractional calculus,the bounded solution and the existence and uniqueness of the equilibrium point of the model are derived.Finally,it is proved that the neural network model is globally exponentially stable.

关 键 词：分数阶 Mittag-Leffler函数 全局稳定 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]