Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays

被引：1
作者：
Zhao, Mingfang [1 ,2 ]
Li, Hong-Li [1 ]
Yang, Juanping [1 ]
Zhang, Long [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Chengxian No 1 Middle Sch, Math Grp, Chengxian 742500, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Lagrange synchronization; Quaternion-valued neural networks; Fractional-order; Discrete-time; Time delays; STABILITY; BIFURCATION;
D O I：
10.1007/s40314-024-02904-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks (DFQNNs) with time delays. First, a new inequality is established by using the definition and operational principles of quaternion sign function. Next, in order to achieve Lagrange synchronization, a state feedback controller is designed. And then, some criteria are derived to guarantee Lagrange synchronization of nonidentical DFQNNs by employing Lyapunov method and fractional difference theory as well as quaternion properties. Finally, the validity and feasibility of the theoretical results are verified by numerical simulations.
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页数：13
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