Pinning synchronization for reaction-diffusion neural networks with delays by mixed impulsive control

The synchronization for reaction-diffusion neural networks with time-varying and distributed delays is concerned in the letter. A mixed pinning impulsive controller is introduced for realizing the synchronization of the neural networks. The novel control method combines the advantages of pinning control as well as two types of impulsive effects (i.e. synchronizing and desynchronizing impulses) such that the control cost is reduced tremendously in practical applications. By applying the generalized comparison principle and average mixed impulsive interval approach, some sufficient criteria are constructed so that response system can be synchronized with corresponding drive system. Finally, two numerical examples are presented to verify the correctness of the obtained results.