Passivity and synchronization of coupled reaction-diffusion Cohen-Grossberg neural networks with state coupling and spatial diffusion coupling

摘要

This paper deals with the passivity and synchronization problems for two types of coupled reaction-diffusion Cohen-Grossberg neural networks (CRDCGNNs). On the one side, a CRDCGNNs model with state coupling is introduced, and several sufficient conditions which ensure the passivity and synchronization of this type of network are deduced respectively by resorting to some inequality techniques and Lyapunov functional method. On the other side, considering that the different diffusion of each node may give rise to different changes of other nodes in reaction-diffusion networks, we also carry out some investigations on the passivity and synchronization of CRDCGNNs with spatial diffusion coupling. Finally, the correctness of the obtained research results are corroborated by two illustrative examples. (C) 2017 Elsevier B.V. All rights reserved.