Global exponential stability and existence of almost periodic solutions in distribution for Clifford-valued stochastic high-order Hopfield neural networks with time-varying delays

被引:9
作者
Huo, Nina [1 ]
Li, Bing [2 ]
Li, Yongkun [3 ]
机构
[1] Hefei Univ, Key Lab Appl Math & Mech Artificial Intelligence, Hefei 230601, Anhui, Peoples R China
[2] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
[3] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 03期
基金
中国国家自然科学基金;
关键词
Clifford-valued neural network; stochastic neural network; high-order Hopfield neural network; almost periodic solution in distribution; global exponential stability; DIFFERENTIAL-EQUATIONS; ANTIPERIODIC SOLUTIONS; DRIVEN;
D O I
10.3934/math.2022202
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a class of Clifford-valued stochastic high-order Hopfield neural networks with time-varying delays whose coefficients are Clifford numbers except the time delays. Based on the Banach fixed point theorem and inequality techniques, we obtain the existence and global exponential stability of almost periodic solutions in distribution of this class of neural networks. Even if the considered neural networks degenerate into real-valued, complex-valued and quaternion-valued ones, our results are new. Finally, we use a numerical example and its computer simulation to illustrate the validity and feasibility of our theoretical results.
引用
收藏
页码:3653 / 3679
页数:27
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