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

• Main Authors: Ping Chen, Chuangxia Huang, Xiaolin Liang
• Format: Article
• Language: English
• Published: Texas State University 2010-03-01
• Series: Electronic Journal of Differential Equations
• Subjects: Cohen-Grossberg neural networks; stochastic; distributed delays; almost sure exponential stability; Lyapunov functional
• Online Access: http://ejde.math.txstate.edu/Volumes/2010/42/abstr.html

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.