  In this paper, we utilize event-triggered coupling configuration to realize
synchronization of linearly coupled dynamical systems. Here, the diffusion
couplings are set up from the latest observations of the nodes of its
neighborhood and the next observation time is triggered by the proposed
criteria based on the local neighborhood information as well. Two scenarios are
considered: continuous monitoring, that each node can observe its
neighborhood's instantaneous states, and discrete monitoring, that each node
can only obtain its neighborhood's states at the same time point when the
coupling term is triggered. In both cases, we prove that if the system with
persistent coupling can synchronize, then these event-trigger coupling
strategies can synchronize the system, too.
