Passivity and Pinning Passivity of Coupled Delayed Reaction-Diffusion Neural Networks with Dirichlet Boundary Conditions

摘要

This paper respectively considers passivity problem and pinning passivity problem for coupled delayed reaction-diffusion neural networks (CDRDNNs). By construction of appropriate Lyapunov functionals and utilization of inequality techniques, several passivity conditions are derived for the CDRDNNs. Moreover, the pinning control technique is developed to obtain some passivity criteria for CDRDNNs. Finally, two numerical examples are also provided to verify the correctness of the theoretical results.