Synchronization of nonlinear oscillators over networks with dynamic links

In this paper we investigate the problem of synchronization of homogeneous nonlinear oscillators coupled by dynamic links. The output of the nonlinear oscillators is the input to the dynamic links, while the output of these dynamic links is the quantity available to the distributed controllers at the nodes to impose synchronization of the network. In particular, inspired by the practical case of nonlinear oscillators connected over an electrical network, we extend a theoretical framework proposed to deal with the synchronization of nonlinear oscillators to the case of networks with dynamic links and guarantee that synchronization is achieved.