Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation

In this Letter, the adaptive lag synchronization issue of unknown chaotic delayed neural networks with noise perturbation is considered in detail. Via adaptive feedback control techniques, the suitable parameters update laws are proposed, then several sufficient conditions are derived to ensure lag synchronization of unknown delayed neural networks with or without noise perturbation. Moreover, some appropriate comparisons are made to contrast to some of existing results about complete synchronization of chaotic systems with or without noise perturbation. Then, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed adaptive scheme. Finally, the proposed adaptive feedback scheme is applied to the secure communication.