Remote synchronization of coupled dynamic networks with neutral-type neural network nodes

This letter considers the mean-square exponential remote synchronization problem for a class of dynamic networks with time-varying delayed couplings. The dynamic of each node in the considered networks is described by a neutral-type system. The remote master system and the dynamic networks transmit signals mutually through the common communication channels, which include network-induced delays, frame losses, and random fluctuations. Considering the conditions of the communication networks, a state error system is formulated. By using Lyapunov functional method and some properties of Kronecker product, some synchronization criteria are derived to ensure the mean-square global exponential synchronization of state trajectories for the remote master system and the coupled dynamic networks. The controller gain matrices could be obtained by solving a minimization problem through a cone complementary technique. An illustrative example is presented to show the effectiveness of the proposed approach.