Lp stabilization of positive neural networks with multiple time-varying delays

被引：2

作者：

Liang, Xue ^{[1
,3
,4
]}

Wang, Xin ^{[1
,2
,3
,4
]}

Zhang, Xian ^{[1
,2
,3
,4
]}

机构：

[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

[2] Heilongjiang Univ, Engn Res Ctr Agr Microbiol Technol, Minist Educ, Harbin 150080, Peoples R China

[3] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Comple, Harbin 150080, Peoples R China

[4] Heilongjiang Univ, Heilongjiang Prov Key Lab Ecol Restorat & Resource, Harbin 150080, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 126卷

基金：

中国博士后科学基金;

关键词：

Positive neural networks; A method based on system solutions; Lp stabilization; Multiple time-varying delays; GLOBAL EXPONENTIAL STABILITY; ONE-LEG METHODS; DIFFERENTIAL EQUATIONS; SYNCHRONIZATION; DISCRETE; SYSTEMS; ORDER;

D O I：

10.1016/j.cnsns.2023.107508

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies Lp stabilization problem of the positive neural networks (NNs) with multiple time-varying delays. The delays can be bounded or unbounded. Firstly, a system solution-based new method is proposed, from which new Lp stabilization criteria are obtained. This method does not need to establish any Lyapunov-Krasovskii functional, which can greatly reduce the amount of calculations. The obtained Lp stabilization conditions are simpler, and can be checked by standard software tools. The advantages of the obtained Lp stabilization conditions are demonstrated with representative numerical examples. It is worth emphasizing that the Lp stabilization problem of positive NNs with multiple time-varying delays is addressed for the first time.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：18

共 42 条

[1] Finite-time and fixed-time synchronization of a class of inertial neural networks with multi-proportional delays and its application to secure communication [J].