Mittag-Leffler stabilization of anti-periodic solutions for fractional- order neural networks with time-varying delays

被引:3
|
作者
Xu, Dan-Ning [1 ]
Li, Zhi-Ying [1 ]
机构
[1] Shaoxing Univ, Yuanpei Coll, Fundamental Educ Dept, Shaoxing 312000, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 01期
关键词
fractional-order; time-varying delays; anti-periodic solutions; Mittag-Leffler stabilization; neural networks; STABILITY;
D O I
10.3934/math.2023081
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Mittag-Leffler stabilization of anti-periodic solutions for fractional-order neural networks with time-varying delays are investigated in the article. We derive the relationship between the fractional-order integrals of the state function with and without delays through the division of time interval, using the properties of fractional calculus, and initial conditions. Moreover, by constructing the sequence solution of the system function which converges to a continuous function uniformly with the Arzela-Asoli theorem, a sufficient condition is obtained to ensure the existence of an anti-periodic solution and Mittag-Leffler stabilization of the system. In the final, we verify the correctness of the conclusion by numerical simulation.
引用
收藏
页码:1610 / 1619
页数:10
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