Finite Time Synchronization of Delayed Quaternion Valued Neural Networks with Fractional Order

被引：22

作者：

Zhang, Weiwei ^{[1
,2
]}

Zhao, Hongyong ^{[1
,3
]}

Sha, Chunlin ^{[1
]}

Wang, Yuan ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China

[2] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Peoples R China

[3] MIIT, Key Lab Math Modelling & High Performance Comp Ai, Nanjing 211106, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2021年 / 53卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fractional order quaternion valued neural networks; Finite time synchronization; Time delay; Feedback control; MITTAG-LEFFLER STABILITY;

D O I：

10.1007/s11063-021-10551-5

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this article, the finite time (FT) synchronization problem of fractional order quaternion valued neural networks with time delay is investigated. Without separating the quaternion valued system into two complex valued or four real valued systems, the FT synchronization conditions are derived through using Lyapunov direct method. Furthermore, the setting time is estimated, which is influenced by the order of fractional derivative and control parameters. Finally, numerical simulations are shown to verify the effectiveness of the proposed methods.

引用

页码：3607 / 3618

页数：12

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