Robust stability of fractional-order quaternion-valued neural networks with neutral delays and parameter uncertainties

被引：93

作者：

Song, Qiankun ^{[1
,2
]}

Chen, Yanxi ^{[1
]}

Zhao, Zhenjiang ^{[3
]}

Liu, Yurong ^{[4
,5
]}

Alsaadi, Fuad E. ^{[6
]}

机构：

[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China

[2] Chongqing Jiaotong Univ, State Key Lab Mt Bridge & Tunnel Engn, Chongqing 400074, Peoples R China

[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[4] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

[5] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R China

[6] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia

来源：

NEUROCOMPUTING | 2021年 / 420卷

基金：

中国国家自然科学基金;

关键词：

Fractional-order; Quaternion-valued neural networks; Neutral delay; Robust stability; Parameter uncertainty; Linear matrix inequality; FINITE-TIME STABILITY; GLOBAL EXPONENTIAL STABILITY; SYNCHRONIZATION ANALYSIS; LEAKAGE DELAY; DISCRETE;

D O I：

10.1016/j.neucom.2020.08.059

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper focuses on the robust stability analysis of fractional-order quaternion-valued neural networks (FOQVNNs) with neutral delay and parameter uncertainties. Without transforming the FOQVNNs into equivalent two complex-valued systems or four real-valued systems, based on homeomorphism principle, matrix inequality technique and Lyapunov method, both delay-independent and delay-dependent criteria to guarantee the existence, uniqueness and global stability of equilibrium point for the considered FOQVNNs are derived in the form of linear matrix inequality (LMI). Two examples with simulations are provided to manifest the theoretical results. (C) 2020 Elsevier B.V. All rights reserved.

引用

页码：70 / 81

页数：12

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