Exponential stability analysis for delayed stochastic Cohen–Grossberg neural network

Abstract

In this paper, the exponential stability problems are addressed for a class of delayed Cohen–Grossberg neural networks which are also perturbed by some stochastic noises. By employing the Lyapunov method, stochastic analysis and some inequality techniques, sufficient conditions are acquired for checking the pth(p > 1) and the 1st moment exponential stability of the network. Finally, One example is given to show the effectiveness of the proposed results.

Keywords:

• Exponential stability
• Cohen–Grossberg neural networks
• Lyapunov method
• Razumikhin-type theorem
• Brownian motion
• Itô's formula