Synchronization criterion for linearly coupled neural networks with impulsive time window

Synchronization of linearly coupled neural networks with impulsive time window is one of the most challenging problems in the field of complex networks. The intrinsic property of impulse time windows is that impulse instants stochastically occur in a determined time window. In this paper, some sufficient condition in the frameworks of impulse time window and fixed impulse moments ensuring the exponential synchronization of linearly coupled neural networks are proposed by using the discretized Lyapunov function method. Moreover, some approximation algorithms are presented to compute the lower and upper bound of the impulse time window. Finally, two numerical simulations are presented to further demonstrate the validation of the proposed approach. (author)