Synchronisation in an array of spatial diffusion coupled reaction-diffusion neural networks via pinning control.

The authors investigate pinning synchronisation for two spatial diffusion coupled reaction-diffusion neural networks under undirected and directed topologies. Combined with stability theory, some inequalities and Lyapunov functional method, several sufficient conditions are derived to assure the synchronisation of the considered networks by designing appropriate pinning controllers. It should be pointed out that a new type of spatial diffusion feedback pinning controller is designed in this paper. The correctness of the obtained results is confirmed by two simulation examples. [ABSTRACT FROM AUTHOR]