Exponential stability analysis of delayed neural networks with impulsive time window

In almost all of the previous publications about the impulsive systems, the impulses involved are fixed instants. However, in many actual applications, impulsive moments can not be prescribed ahead of schedule. Hence, in this manuscript, a generalized model of neural networks with delays and impulsive time window is formulated. And then, through the use of lyapunov stability theory method, several original and easy-to-prove sufficient conditions are derived to notarize that the model which concerning the impulsive time window is global exponential stable. Moreover a framework combining the exponential convergence rate with the various parameters of impulsive is constructed. Finally, the effectiveness of the theoretical results are demonstrated by the numerical simulations.