一类分数阶中立型时滞神经网络的稳定性  

Stability of a Class of Fractional-Order Neutral Time-Delay Neural Networks

作　　者：曹行 

机构地区：[1]成都理工大学数学科学学院,四川 成都

出　　处：《理论数学》2025年第1期63-68,共6页Pure Mathematics

摘　　要：本文考虑了一类具有时变时滞的分数阶中立型神经网络模型。根据同胚映射原理证明了该系统平衡点的存在唯一性。然后通过构造Lyapunov泛函以及利用Lyapunov稳定性理论,证明了系统渐近稳定的充分条件。In this paper, a class of fractional-order neutral neural network models with time-varying delays was considered. The uniqueness of the existence of the equilibrium point of the system is proved by the principle of homeomorphic mapping. Then, by constructing Lyapunov functional and using Lyapunov stability theory, the sufficient conditions for asymptotic stability of the system are proved.

关 键 词：神经网络 时变时滞 分数阶中立型 全局渐近稳定性 

分 类 号：O17[理学—数学]