Adaptive pinning synchronization for complex network coupled with the outputs

An adaptive pinning control method is proposed for synchronization of a complex network coupled with output. Unlike existing synchrnization methods, output of a complex network is used to construct synchronization controllers, and the synchronization-controller gains are adapted according to synchronization errors, and only part of nodes need to be controlled in the complex network. Furthermore, synchronization criteria are achieved for a complex network on the basis of the Lyapunov stability theory. Numerical simulations are carried out for a small-world network and a scale-free network, the results showing effectiveness of the proposed scheme for synchronization of complex network.