Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays

被引：0
|
作者：
Zhu, Li [1 ]
Cong, Er-yong [1 ,2 ]
Zhang, Xian [3 ,4 ]
机构：
[1] Harbin Univ, Dept Math, Harbin 150086, Peoples R China
[2] Harbin Univ, Heilongjiang Prov Key Lab Intelligent Percept & In, Harbin 150080, Peoples R China
[3] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[4] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Comple, Harbin 150080, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 08期
关键词：
global exponential stability; distribution delays; transmission time-varying delays; quaternion-valued neural networks; leakage delay; TIME; SYNCHRONIZATION; INTERVAL;
D O I：
10.3934/math.2023970
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the global exponential stability problem of quaternion-valued neural networks (QVNNs) with leakage, transmission, and distribution delays. To address this issue, a direct method based on system solutions is proposed to ensure the global exponential stability of the considered network models. In addition, this method does not need to construct any Lyapunov-Krasovskii functional, which greatly reduces the amount of computation. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.
引用
收藏
页码：19018 / 19038
页数：21
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