Decentralized stabilization for nonlinear coupled complex dynamical networks with distinct nodes

The stabilization for nonlinear coupled complex dynamical networks with distinct nonlinear nodes is investigated by using decentralized dynamical compensation controllers. Firstly, a dynamical network model with nonlinear similar nodes and delayed coupling functions is proposed. Then for this kind of network model, associated with some assumptions, the decentralized dynamical compensation controllers are designed for the stabilization in states of the nodes. Our stabilization schemes are also useful for the nonlinear non-delayed coupling networks. Finally, a numerical example is presented to verify the effectiveness of our theoretical results.