Control analysis of the stabilization and synchronization of coupling time-delay complex dynamical networks with similar nodes

The stabilization and synchronization of complex dynamical networks with similar nodes and coupling time-delay are investigated, and the out-coupling satisfies the condition of the dissipation. For the complex dynamical network of different dimension node, the decentralized control strategies are designed in term of the information of the similar parameters in complex dynamical networks by using the method of linear matrix inequality. A synchronization criterion time delay independent of this model is given by the decentralized controller with similar parameters. The definition of the synchronization manifold is proposed, and the time delay independent criterion of the synchronization of the complex dynamical networks is derived. Finally, a numerical example is given to show the effectiveness of the designed method.