Mutiple ψ-type stability of fractional-order quaternion-valued neural networks

被引：22
|
作者：
Udhayakumar, K. [1 ]
Rakkiyappan, R. [1 ]
Li, Xiaodi [2 ]
Cao, Jinde [3 ,4 ]
机构：
[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[4] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 401卷
关键词：
Multiple stability; psi-type functions; Fractional-order; Quaternion-valued neural networks;
D O I：
10.1016/j.amc.2021.126092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The multiple psi-type stability of fractional-order quaternion-valued neural networks (FQVNNs) was investigated in this paper. Some new conditions ensuring the existence of multiple equilibrium points of the considered FQVNNs are provided. Meanwhile, the psi-type stability for the proposed neural networks is studied by employing the fractional calculus theory and fractional derivative techniques into the system dynamics. Finally, an numerical simulation is given to show the effectiveness of the theoretical results. (C) 2021 Elsevier Inc. All rights reserved.
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页数：13
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