Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/42758

TitleGlobal asymptotic stability of a general nonautonomous Cohen-Grossberg model with unbounded amplification functions
Author(s)Oliveira, José J.
KeywordsCohen-Grossberg neural networks
Unbounded time-varying coefficients
Unbounded distributed delays
Unbounded amplification functions
Global asymptotic stability
Issue date2016
PublisherSpringer Verlag
JournalSpringer Proceedings in Mathematics and Statistics
Abstract(s)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.
TypeConference paper
DescriptionSeries: Springer proceedings in mathematics & statistics. ISSN 2194-1009, vol. 162
URIhttp://hdl.handle.net/1822/42758
ISBN978-3-319-32142-4
DOI10.1007/978-3-319-32144-8_12
ISSN2194-1009
Publisher versionhttp://www.springer.com/series/10533
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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