Inequalities and stability of stochastic Hopfield neural networks with discrete and distributed delays
Inequalities and stability of stochastic Hopfield neural networks with discrete and distributed delays
复制标题
具有离散和分布式延迟的随机 Hopfield 神经网络的不等式和稳定性
DOI：
10.1016/j.neucom.2020.05.005
复制
发表时间：
2020-09-24
期刊：
影响因子：
6
通讯作者：
Guo, Xiaoxia
中科院分区：
文献类型：
--
作者：
Ruan, Dehao;Huang, Zhehao;Guo, Xiaoxia
本文研究了具有离散和分布时滞的随机Hopfield神经网络的p阶矩指数稳定性和几乎必然指数稳定性。对前人的一些工作进行了改进与拓展。我们的方法基于构造一类积分不等式和微分不等式，以及随机分析技术。我们的结果既不需要构造复杂的李雅普诺夫函数，也不要求时滞函数具有可微性。此外，给出了两个算例及其仿真，以说明主要结果的有效性。（C）2020爱思唯尔出版社。保留所有权利。
In this paper, the pth moment exponential stability and almost surely exponential stability of stochastic Hopfield neural networks with discrete and distributed delays are investigated. Some previous works are improved and extended. Our approach is based on constructing a class of integral inequalities and differ-ential inequalities, as well as stochastic analysis techniques. Our results neither require to construct a complicated Lyapunov function nor the differentiability of the delay function. In addition, two examples with their simulations are given to illustrate the effectiveness of the main results. (C) 2020 Elsevier B.V. All rights reserved.