Boundedness and global exponential stability for delayed differential equations with applications

被引：6

作者：

Faria, Teresa ^{[1
]}

Oliveira, Jose J. ^{[2
]}

机构：

[1] Univ Lisbon, Fac Ciencias, Dept Matemat & CMAF, P-1749016 Lisbon, Portugal

[2] Univ Minho, Escola Ciencias, Dept Matemat, P-4710057 Braga, Portugal

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 02期

关键词：

Global exponential stability; Global asymptotic stability; Delay; Neural network; Cohen-Grossberg neural network; Delayed population model; GROSSBERG NEURAL-NETWORKS; TIME-VARYING DELAYS; DISTRIBUTED DELAYS; IMPULSES; SYSTEMS;

D O I：

10.1016/j.amc.2009.04.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feed-backs which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilibria are obtained. The results are illustrated with applications to delayed neural networks and population dynamics models. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：487 / 496

页数：10

共 23 条

[1] Global exponential stability and existence of periodic solution of Cohen-Grossberg type neural networks with delays and impulses [J].