For a class of nonautonomous differential equations with infinite delay, we give sufficient conditions for the global asymptotic stability of an equilibrium point. This class is general enough to include, as particular cases, the most of famous neural network models such as Cohen-Grossberg, Hopfield, and bidirectional associative memory. It is relevant to notice that here we obtain global stability criteria without assuming bounded amplification functions. As illustrations, results are applied to several concrete models studied in some earlier publications and new global stability criteria are given.
CITATION STYLE
Oliveira, J. J. (2016). Global asymptotic stability of a general nonautonomous cohen-grossberg model with unbounded amplification functions. In Springer Proceedings in Mathematics and Statistics (Vol. 162, pp. 243–262). Springer New York LLC. https://doi.org/10.1007/978-3-319-32144-8_12
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