Adaptive Control for Passivity and Synchronization of Coupled Reaction-Diffusion Neural Networks with Multiple State Couplings

Abstract

In this paper, a coupled reaction-diffusion neural networks with multiple state couplings is presented. By selecting appropriate adaptive control scheme and employing inequality techniques, several passivity conditions for the proposed network model are given. In addition, a sufficient condition for ensuring the synchronization of the proposed network model is also established by exploiting the output-strictly passivity. Finally, we give a numerical example to verify the effectiveness of the derived criteria.