Analysis and control for synchronization of coupled reaction–diffusion neural networks with multiple couplings subject to topology attacks

This paper addresses the synchronization for coupled reaction–diffusion neural networks (CRNNs) with multistate couplings or multiple spatial-diffusion couplings suffering topology attacks. By selecting appropriate Lyapunov functional and utilizing the Kronecker product, several network synchronization criteria are formulated. Moreover, since networks suffering attacks may not be synchronized in some circumstances, two simple controllers are also developed. Finally, the effectiveness of the devised control schemes are verified through two numerical examples.