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

页码：19018 / 19038

页数：21

共 50 条

[31] Robust Exponential Stability for Discrete-Time Quaternion-Valued Neural Networks with Time Delays and Parameter Uncertainties
Yuanshun Tan
Xiaodong Wang
Jin Yang
Jin Hu
Neural Processing Letters, 2020, 51 : 2317 - 2335
[32] New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays
Li, Bingjun
Tang, Bingnan
JOURNAL OF MATHEMATICS, 2021, 2021
[33] Global μ-stability of quaternion-valued neural networks with non-differentiable time-varying delays
Shu, Hanqi
Song, Qiankun
Liu, Yurong
Zhao, Zhenjiang
Alsaadi, Fuad E.
NEUROCOMPUTING, 2017, 247 : 202 - 212
[34] Existence and global exponential stability of anti-periodic solutions for quaternion-valued cellular neural networks with time-varying delays
Li, Yongkun
Xiang, Jianglian
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[35] Existence and global exponential stability of anti-periodic solutions for quaternion-valued cellular neural networks with time-varying delays
Yongkun Li
Jianglian Xiang
Advances in Difference Equations, 2020
[36] Parameter-range-dependent robust stability conditions for quaternion-valued neural networks with time delays
Wang, Xiaodong
Zhou, Jielin
Chen, Xiaofeng
Tan, Yuanshun
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[37] Parameter-range-dependent robust stability conditions for quaternion-valued neural networks with time delays
Xiaodong Wang
Jielin Zhou
Xiaofeng Chen
Yuanshun Tan
Advances in Difference Equations, 2019
[38] Existence and Exponential Stability of Solutions for Quaternion-Valued Delayed Hopfield Neural Networks by ξ-Norms
Wang, Huamin
Wen, Shiping
IEEE ACCESS, 2019, 7 : 184509 - 184517
[39] Multistability Analysis of Quaternion-Valued Neural Networks With Time Delays
Song, Qiankun
Chen, Xiaofeng
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (11) : 5430 - 5440
[40] Lagrange stability of quaternion-valued memristive neural networks
Huang, Qun
Ma, Nan
Tu, Zhengwen
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024,

← 1 2 3 4 5 →