Passivity and pinning passivity of complex dynamical networks with spatial diffusion coupling

A coupled delayed reaction-diffusion neural networks (CDRDNNs) with spatial diffusion coupling is presented in this paper. By exploiting Lyapunov functional method as an effective tool, several passivity criteria for CDRDNNs with spatial diffusion coupling are established. Furthermore, pinning passivity of the CDRDNNs with spatial diffusion coupling has been deeply investigated and the corresponding conditions ensuring passivity of the CDRDNNs with spatial diffusion coupling are established. Two examples with simulation results are also given to verify the correctness of proposed passivity results.