Asymptotically Almost Automorphic Solutions for Impulsive Quaternion-Valued Neural Networks with Mixed Delays

被引：1

作者：

Jiang, Quande ^{[1
]}

Wang, Qiru ^{[2
]}

机构：

[1] Guangdong Ind Polytech, Math Teaching & Res Dept, 152, Xingang Xi Rd, Guangzhou 510300, Guangdong, Peoples R China

[2] Sun Yat sen Univ, Sch Math, 135, Xingang Xi Rd, Guangzhou 510275, Guangdong, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2023年 / 55卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Impulsive quaternion-valued neural networks with mixed delays; Asymptotically almost automorphic solutions; Existence uniqueness and global exponential stability; Generalized Gronwall-Bellman inequality technique; ALMOST-PERIODIC-SOLUTIONS; EXPONENTIAL STABILITY; LEAKAGE TERMS; EXISTENCE; SYNCHRONIZATION;

D O I：

10.1007/s11063-023-11434-7

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 paper, we consider a class of impulsive quaternion-valued neural networks with mixed delays. By using the General Lipschitz condition, the contraction mapping principle, the exponential dichotomy of linear dynamic equations and the generalized Gronwall-Bellman inequality technique, we obtain the conditions for the existence, uniqueness and global exponential stability of asymptotically almost automorphic solutions of the system. Finally, two examples are given to illustrate the efficiency of our theoretical results.

引用

页码：12597 / 12624

页数：28

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