  This article studies the synchronization problem of complex dynamical
networks. The impulsive control method is considered with a novel
event-triggered pinning algorithm. Sufficient conditions on the network
topology are obtained to ensure network synchronization. It is shown that
synchronization can be realized with a careful selection of the pinning nodes.
Furthermore, an adaptive coupling strength is incorporated into the network to
allow network synchronization with an arbitrary selection of the pinning nodes.
An example of a network with node dynamics described by the Chen system is
studied to demonstrate the theoretical results.
