Geodesic
Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we consider a model that describes the dynamics of Cohen-Grossberg neural networks with unbounded distributed delays, whose state variable are governed by stochastic non-linear integro-differential equations. Without assuming the smoothness, monotonicity and boundedness of the activation functions, by constructing suitable Lyapunov functional, employing the semi-martingale convergence theorem and some inequality, we obtain some sufficient criteria to check the almost exponential stability of networks.
Classification : 34F05, 93E15
Keywords: Cohen-Grossberg neural networks, stochastic, distributed delays, almost sure exponential stability, Lyapunov functional 
@article{EJDE_2010__2010__a160,
     author = {Chen, Ping and Huang, Chuangxia and Liang, Xiaolin},
     title = {Stochastic stability of {Cohen-Grossberg} neural networks with unbounded distributed delays},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a160/}
}
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Chen, Ping; Huang, Chuangxia; Liang, Xiaolin. Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a160/