Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms

Simple item page
dc.contributor.authorAkca, Haydar
dc.contributor.authorCovachev, Valery
dc.date.accessioned2022-01-06T07:53:55Z
dc.date.accessioned2023-08-19T09:16:12Z
dc.date.available2022-01-06T07:53:55Z
dc.date.available2023-08-19T09:16:12Z
dc.date.issued2009-01
dc.descriptionSince Cohen-Grossberg neural networks were proposed by Cohen and Grossberg [2] in 1983, extensive work has been done on this subject due to their numerous applications in classification of patterns, associative memories, image processing, quadratic optimization, and other areas. In implementation of neural networks, however, time delays inevitably occur due to the finite switching speed of neurons and amplifiers.en_US
dc.description.abstractAn impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms is considered. The reaction-diffusion terms are approximated by divided differences. For simplicity of notation the spatial domain Ω is assumed to be a finite closed interval [a, b]. Under suitable conditions in terms of M−matrices it is proved that the system obtained has a unique equilibrium point which is globally exponentially stableen_US
dc.identifier.citationAkca, H., & Covachev, V. (2009). Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 17(3), 15-26.en_US
dc.identifier.urihttps://edms.wexl.in/handle/1/2151
dc.language.isoenen_US
dc.publisherTatra Mountains Mathematical Publicationen_US
dc.subjectCohen-Grossberg neural networksen_US
dc.subjectDelaysen_US
dc.subjectImpulsesen_US
dc.titleSpatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion termsen_US
dc.title.alternativeAnalele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica 17(3)en_US
dc.typeArticleen_US

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Spatial discretization of an impulsive.pdf
Size:
155.31 KB
Format:
Adobe Portable Document Format
Description:
Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms." Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
Download

License bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Plain Text
Description:
Download

Collections

Mathematics