Decentralized synchronization and output tracking control of nondiffusively coupled complex dynamical networks

Abstract

Diffusive coupling configuration of complex dynamical networks derives from the situation that nodes are coupled with states difference between each other. For the limitation of applicability of diffusive coupling model, it is necessary to study the control problem of nondiffusively coupled complex networks. A decentralized synchronization criterion with state feedback control scheme was proposed based on linear matrix inequality methodology. A simple criterion for the verification of decentralized stabilizability of the network is given. Furthermore, a decentralized output tracking control method is proposed based on the former synchronization criterion. Finally a nondiffusively coupled scale-free network is provided as the example to verify the effectiveness of the given methods. © 2010 Springer-Verlag.