Stabilization and synchronization of complex dynamical networks with different dynamics of nodes via decentralized controllers

This paper investigates the stabilization and synchronization of complex dynamical networks with different dynamics of nodes by using decentralized linear control and linear matrix inequality. We propose a dynamical network model with similar nodes that the dimensions of node dynamics are different. For this kind of network model, decentralized linear controllers are designed for the stabilization and synchronization. In addition, the synchronization manifold is defined as an invariant manifold, which is regarded as the generalized case of the networks with same node dynamics. Some criteria for the synchronization of networks are derived in this paper. Finally, numerical examples are presented to verify the theoretical results.