Global exponential stability of nonautonomous neural network models with unbounded delays

被引:17
作者
Oliveira, Jose J. [1 ,2 ]
机构
[1] Univ Minho, Dept Matemat & Aplicacoes, Escola Ciencias, Campus Gualtar, P-4710057 Braga, Portugal
[2] Univ Minho, CMAT, Escola Ciencias, Campus Gualtar, P-4710057 Braga, Portugal
关键词
Cohen-Grossberg neural networks; Infinite distributed delays; Infinite discrete delays; Global exponential stability; Unbounded coefficients; PERIODIC-SOLUTIONS; DISTRIBUTED DELAYS; EXISTENCE; DYNAMICS; SYSTEMS;
D O I
10.1016/j.neunet.2017.09.006
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
For a nonautonomous class of n-dimensional differential system with infinite delays, we give sufficient conditions for its global exponential stability, without showing the existence of an equilibrium point, or a periodic solution, or an almost periodic solution. We apply our main result to several concrete neural network models, studied in the literature, and a comparison of results is given. Contrary to usual in the literature about neural networks, the assumption of bounded coefficients is not required to obtain the global exponential stability. Finally, we present numerical examples to illustrate the effectiveness of our results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:71 / 79
页数:9
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