Synchronizing networks of heterogeneous linear systems via input-output decoupling

In this article, a new approach for solving the synchronization problem for networks of heterogeneous linear systems is presented. The main idea is to decouple the states to be synchronized for every agent from the rest of the system dynamics, leading to an input-output decoupling control law. We present a decentralized control strategy for homogenizing the transient behaviors of the agents. Further, for every agent the same reference signal, which can be generated by identical exosystems, is applied leading to synchronization. A numerical example illustrates the efficiency of the design procedure.