Passivity and Synchronization of Coupled Reaction–Diffusion Cohen–Grossberg Neural Networks with Fixed and Switching Topologies

Abstract

This paper investigates the passivity and synchronization of coupled reaction–diffusion Cohen–Grossberg neural networks (CRDCGNNs) with constant and delayed couplings respectively. On the one side, a CRDCGNNs model with fixed topology is introduced, and several sufficient conditions which ensure passivity and synchronization for this type of network are derived respectively by exploiting some inequality techniques and constructing appropriate Lyapunov functional. On the other side, considering that topology structure of a network may change by switches in some cases, we also concern on the passivity and synchronization of CRDCGNNs with switching topology. Finally, the correctness of the obtained passivity and synchronization criteria are corroborated by two illustrative examples.