Complete synchronization of discrete-time variable-order fractional neural networks with time

被引：3
|
作者：
Li, Tong [1 ]
Li, Hong-Li [1 ,2 ]
Zhang, Long [1 ,2 ]
Zheng, Song [3 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R China
[3] Zhejiang Univ Finance & Econ, Sch Data Sci, Hangzhou 310018, Peoples R China
来源：
CHINESE JOURNAL OF PHYSICS | 2024年 / 91卷
基金：
中国国家自然科学基金;
关键词：
Discrete-time; Variable-order; Neural networks; Complete synchronization; Fractional-order; STABILITY ANALYSIS; RIEMANN;
D O I：
10.1016/j.cjph.2024.08.022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper investigates complete synchronization of discrete-time variable-order fractional neural networks (DVFNNs) with time delays. By discrete inequality technologies and nabla Laplace transform, two stability lemmas are derived which are generalizations of the constant- order case. Furthermore, several complete synchronization criteria for DVFNNs are proposed by utilizing inequality techniques and Lyapunov method. Finally, a numerical example is provided to verify the theoretical results. This paper also provides a stability analysis method for variable-order fractional discrete-time systems.
引用
收藏
页码：883 / 894
页数：12
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