Passivity and synchronization of coupled reaction–diffusion neural networks with multiple coupling and uncertain inner coupling matrices

Abstract

In this paper, a coupled reaction–diffusion neural networks (CRDNNs) model with multiple time-delays and uncertain inner coupling matrices is presented, and then some sufficient conditions are derived to make sure such network is passive. Subsequently, the uncertain CRDNNs with multiple time-delays and state couplings are considered, and the passivity criteria are given by exploiting some inequality techniques and Lyapunov functional. Similarly, the synchronization for such two networks are also investigated. Eventually, we provided two numerical examples to verify the validity of these acquired results.