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

作者: Salete Esteves , José J. Oliveira

DOI: 10.1016/J.AMC.2015.04.103

关键词: Applied mathematicsMathematical proofExponential stabilityArtificial neural networkLyapunov functionalMathematical optimizationStability (learning theory)Bidirectional associative memoryMathematics

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 studied is enough to include, as subclass, the most of famous models such Cohen-Grossberg, Hopfield, bidirectional associative memory. Contrary usual in literature, proofs do not use Lyapunov functionals. As illustrated, results are applied several concrete literature comparison shows that our new stability criteria improve some earlier publications.

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