Controlled synchronization of delayed weighted complex network with different kinds of nodes

This paper considers the controlled synchronization of delayed weighted complex dynamical network consisting of heterogeneous nodes. By adding controllers to nodes of the second kind in the model presented consisting of two kinds of nodes, both delay-independent and delay-dependent stability criteria for the controlled synchronization state of the network are derived. It is shown that the stability of the controlled synchronization state depends on the dynamics of nodes of the first kind, the inner-coupling matrix, the out-coupling matrix, the weighted matrix and the controllers designed. The efficiency of the derived results is illustrated by numerical examples.