Finite-Time Synchronization Under Aperiodically Intermittent Control and its Application on Spatially Coupled Reaction-Diffusion Neural Networks

We investigate a general way to achieve finite-time synchronization (FnTSYN) for networks via aperiodically intermittent control (AInC). At first, we propose a general sufficient criteria under AInC for finite-time stability (FnTSta). Then, a general model for complex networks under this sufficient condition is given. Furthermore, we apply the proposed condition to the spatially coupled reaction-diffusion neural networks (RDNNs) to realize its FnTSYN. Finally, simulations are given to verify the results.