Exponential synchronisation of linearly coupled reaction-diffusion neural networks with discrete and infinite distributed delays

This paper presents the exponential synchronisation for linearly coupled reaction-diffusion neural networks (CRDNNs) with discrete, infinite distributed delays and Dirichlet boundary condition. Two sufficient criteria are obtained for the exponential synchronisation of linearly coupled semi-linear diffusion partial differential equations (PDEs) with discrete, infinite distributed time-delays by using the Halanay inequality and Lyapunov-Krasoviskii functional stability scheme. These results are presented by linear matrix inequality and solved by MATLAB LMI Toolbox. Two simulation examples of linearly CRDNNs with discrete, infinite distributed delays are given to illustrate the validity of the results obtained above.