Geodesic
Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays
Electronic journal of differential equations, Tome 2010 (2010)
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__a60,
     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},
     year = {2010},
     volume = {2010},
     zbl = {1201.34130},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a60/}
}
TY  - JOUR
AU  - Chen,  Ping
AU  - Huang,  Chuangxia
AU  - Liang,  Xiaolin
TI  - Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a60/
LA  - en
ID  - EJDE_2010__2010__a60
ER  - 
%0 Journal Article
%A Chen,  Ping
%A Huang,  Chuangxia
%A Liang,  Xiaolin
%T Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a60/
%G en
%F EJDE_2010__2010__a60
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__a60/