Impulsive Cohen-Grossberg neural networks with S-type distributed delays and reaction-diffusion terms

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dc.contributor.authorAkca, Haydar
dc.contributor.authorCovachev, Val´ery
dc.date.accessioned2022-01-08T08:06:22Z
dc.date.accessioned2023-08-19T09:16:13Z
dc.date.available2022-01-08T08:06:22Z
dc.date.available2023-08-19T09:16:13Z
dc.date.issued2003-08
dc.descriptioninspired by the way of biological nervous systems, such as the brain, process information. The key element of this paradigm is the novel structure of the information processing system. It is composed of a large number of highly interconnected processing elements (neurons) working in unison to solve specific problems. Although the initial intent of artificial neural networks was to explore and reproduce human information processing tasks such as speech, vision, and knowledge processing, artificial neural networks also demonstrated their superior capability for classification and function approximation problems.en_US
dc.description.abstractWe study impulsive Cohen-Grossberg neural networks with S-type distributed delays. This type of delays in the presence of impulses is more general than the usual types of delays studied in the literature. Using analysis techniques we prove the existence of a unique equilibrium point. By means of simple and efficient Lyapunov functions we present some sufficient conditions for the exponential stability of the equilibrium.en_US
dc.identifier.citationCovachev, H. A. V. (2011). Impulsive Cohen-Grossberg neural networks with S-type distributed delays. Tatra Mt. Math. Publ, 48, 1-13.en_US
dc.identifier.doi10.2478/v10127-011-0001-9
dc.identifier.urihttps://edms.wexl.in/handle/1/2186
dc.language.isoenen_US
dc.publisherTatra Mountains Mathematical Publicationen_US
dc.subjectCohen-Grossberg neural networksen_US
dc.subjectS-delaysen_US
dc.subjectExponential stabilityen_US
dc.titleImpulsive Cohen-Grossberg neural networks with S-type distributed delays and reaction-diffusion termsen_US
dc.title.alternativeMathematical Institute, Slovak Academy of Sciencesen_US
dc.typeArticleen_US

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