Global exponential stability of nonautonomous neural network models with continuous distributed delays

For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distribut...

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Bibliographic Details
Main Author: Esteves, Maria (author)
Other Authors: Gokmen, Elçin (author), Oliveira, José J. (author)
Format: article
Language:eng
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10198/8460
Country:Portugal
Oai:oai:bibliotecadigital.ipb.pt:10198/8460
Description
Summary:For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distributed delays. For these models, we establish sufficient conditions for their global exponential stability. The existence and global exponential stability of a periodic solution is also addressed. A comparison of results shows that these results are general, news, and add something new to some earlier publication