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

Salete Esteves and José J. Oliveira

Applied Mathematics and Computation, 2015, vol. 265, issue C, 333-346

Abstract: 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.

Keywords: Cohen–Grossberg neural networks; Unbounded time-varying coefficients; Unbounded distributed delays; Global asymptotic stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:333-346

DOI: 10.1016/j.amc.2015.04.103

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