The synchronization of complex dynamical networks with similar nodes and coupling time-delay

The synchronization for a class of complex dynamical network with similar nodes and coupling time-delay is investigated. The dimensions of the dynamical nodes in the complex network are different. Moreover, the coupling time-delays of the dynamical nodes are also different, and the decentralized control strategies are designed in term of the information of the similar parameters in dynamical complex networks by using the method of linear matrix inequality. The definition of the synchronization manifold is constructed, and the time delay independent criterion of the synchronization of the complex dynamical networks is derived. Finally, a numerical example is presented to demonstrate the application of the theoretical results.