Pinning control strategies for synchronization of complex dynamical networkswith spatial diffusion coupling

In this paper, the authors investigate a coupled reaction-diffusion neural networks which is coupled through the spatial diffusion terms. Combined with Lyapunov functional method and some inequality techniques, a synchronization criterion for the proposed network model is established via pinning a small fraction of nodes. In addition, we derive a sufficient condition to guarantee the network can achieve synchronization by designing pinning adaptive feedback controllers. Finally, a numerical example is given to verify the correctness and effectiveness of the obtained theoretical results.