Abstract

This paper investigates the controlled synchronization of complex dynamical network with nonidentical nodes and time-varying delay. A model of weighted complex dynamical network consisting of two kinds of nodes is presented. Controllers are added to some nodes in the system and several stability criteria for the controlled synchronization are derived. It is shown that the stability of the controlled synchronization depends on the dynamic of the nodes, the inner-coupling matrix, the out-coupling matrix and the controllers added to the nodes. The networks with nodes described as discrete-time system are also considered. At last, the efficiency and applicability of the proposed methodology is demonstrated by numerical examples.

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