Event-triggered network-based synchronization of complex networks with neutral neural network nodes

This paper focuses on the event-triggered network-based synchronization problem for a class of complex networks with delayed couplings. The dynamic of each node in the considered networks is described by a neutral neural network. The remote master and the complex networks transmit signals mutually through the common communication channels, which include network-induced delays and stochastic fluctuations. An event-triggering scheme is proposed and utilized when the controller transfer signals to the complex networks. A state error system is formulated in which the event-triggering scheme is concerned with. By using Lyapunov method and some properties of Kronecker product, some synchronization criteria are derived to ensure the global mean-square exponential synchronization of state trajectories of the remote master and the coupled dynamic networks. The event-triggered controller design method is further proposed.