Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays

被引:16
作者
Esteves, Salete [1 ]
Oliveira, Jose J. [2 ]
机构
[1] Escola Super Comunicacao, Adm & Turismo, Inst Politecn Braganca, Mirandela, Portugal
[2] Univ Minho, Dept Matemat & Aplicacoes, Ctr Matemat CMAT, P-4710057 Braga, Portugal
关键词
Cohen-Grossberg neural networks; Unbounded time varying coefficients; Unbounded distributed delays; Global asymptotic stability; EXPONENTIAL STABILITY; BOUNDEDNESS; CONVERGENCE;
D O I
10.1016/j.amc.2015.04.103
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a general Cohen-Grossberg neural network model with potentially unbounded time varying coefficients and infinite distributed delays, we give sufficient conditions for its global asymptotic stability. The model studied is general enough to include, as subclass, the most of famous neural network models such as Cohen-Grossberg, Hopfield, and bidirectional associative memory. Contrary to usual in the literature, in the proofs we do not use Lyapunov functionals. As illustrated, the results are applied to several concrete models studied in the literature and a comparison of results shows that our results give new global stability criteria for several neural network models and improve some earlier publications. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:333 / 346
页数:14
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