PD Control for Passivity of Coupled Reaction-Diffusion Neural Networks with Multiple State Couplings

This paper studies the passivity for coupled reaction-diffusion neural networks with multiple state couplings (CRDNN-MSCs) by employing the proportional-derivative (PD) control method. Firstly, a PD control strategy is presented for the sake of ensuring the passivity of CRDNNMSCs. In addition, a synchronization condition is also given by utilizing the output-strict passivity of CRDNNMSCs. Lastly, the correctness of the obtained passivity and synchronization criteria for the proposed model is verified by a numerical example.