Improved stability estimates for impulsive delay reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincaré inequality

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dc.contributor.authorAkca, Haydar
dc.contributor.authorCovachev, Valéry
dc.contributor.authorCovache, Zlatinka
dc.date.accessioned2022-01-06T08:32:55Z
dc.date.accessioned2023-08-19T09:16:18Z
dc.date.available2022-01-06T08:32:55Z
dc.date.available2023-08-19T09:16:18Z
dc.date.issued2013-04
dc.descriptionSince Cohen-Grossberg neural networks [8] were proposed in 1983, extensive work has been done on this subject due to their extensive applications in the classification of patterns, associative memories, image processing, quadratic optimization, and other areas. In the implementation of neural networks, however, time delays inevitably occur due to the finite switching speed of neurons and amplified.en_US
dc.description.abstract. An impulsive Cohen-Grossberg neural network with time-varying and S-type distributed delays and reaction-diffusion terms is considered. By using Hardy-Poincar´e inequality instead of Hardy-Sobolev inequality or just the nonpositivity of the reaction-diffusion operators, under suitable conditions in terms of M-matrices which involve the reaction-diffusion coefficients and the dimension and size of the spatial domain, improved stability estimates for the system with zero Dirichlet boundary conditions are obtained. Examples are givenen_US
dc.identifier.citationAkça, H., Covachev, V., & Covacheva, Z. (2013). Improved stability estimates for impulsive delay reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincaré inequality. Tatra Mountains Mathematical Publications, 54(1), 1-18.en_US
dc.identifier.doi: 10.2478/tmmp-2013-00
dc.identifier.urihttps://edms.wexl.in/handle/1/2158
dc.language.isoenen_US
dc.publisherTatra Mountains Mathematical Publicationen_US
dc.subjectCohen-Grossberg neural networksen_US
dc.subjectS-type delaysen_US
dc.subjectImpulsesen_US
dc.subjectReaction-diffusioen_US
dc.subjectHardy-Poincar´e inequaliten_US
dc.titleImproved stability estimates for impulsive delay reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincaré inequalityen_US
dc.title.alternativeMathematical Institute, Slovak Academy of Scienceen_US
dc.typeArticleen_US

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