Dynamical behavior of impulsive and periodic Cohen-Grossberg neural networks

作者：Lisena Benedetta^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(13): 4511-4519.

DOI：10.1016/j.na.2011.04.015

• Cohen-Grossberg neural networks
• Periodic solution
• Exponential stability

This paper investigates the existence and global stability of the periodic solution. (x) over circle (t) to Cohen-Grossberg neural networks with periodic coefficients and impulses. By using comparison results for impulsive differential equations and the method of Lyapunov, we describe the asymptotic behavior of all solutions. In addition, we give an explicit formula for the rate of exponential decay at infinity of the Euclidean norm parallel to x(t) - (x) over circle (t)parallel to, where x(t) is any solution of our model. Such a formula involves the jumps and the average of a suitable periodic function depending on the other parameters of the neural networks.

• 出版日期2011-9