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.
作者
罗欢
郝冰
陈付彬
LUO Huan;HAO Bing;CHEN Fu-bin(Oxbridge College,Kunming University of Science and Technology,Kunming 650106,China)
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)。
