Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays

Electronic Journal of Differential Equations

卷:2010

关键词: Cohen-Grossberg neural networks;    stochastic;    distributed delays;    almost sure exponential stability;    Lyapunov functional;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, we consider a model thatdescribes the dynamics of Cohen-Grossberg neural networks withunbounded distributed delays, whose state variable are governedby stochastic non-linear integro-differential equations.Without assuming the smoothness, monotonicity and boundednessof the activation functions, by constructing suitable Lyapunovfunctional, employing the semi-martingale convergence theoremand some inequality, we obtain some sufficient criteria to checkthe almost exponential stability of networks.

【 授权许可】

Unknown