Autor(es): Esteves, Salete ; Gokmen, Elçin ; Oliveira, José J.
Data: 2013
Identificador Persistente: http://hdl.handle.net/1822/23929
Origem: RepositóriUM - Universidade do Minho
Assunto(s): Hopfield neural network; BAM neural network; Time-varying coefficient; Distributed time delay; Periodic solution; Global exponential stability; Science & Technology
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 publications.
Fundação para a Ciência e a Tecnologia (FCT)
