Parameters and structure identification of complex delayed networks via pinning control

In this paper, an uncertain complex delayed network model with non-identical nodes is established. The parameters of each dynamical node and the network structure are considered to be uncertain. The goal is to identify the unknown system parameters and the unknown network structure. By designing an adaptive observer network and applying the strategy of pinning control, the uncertain parameters and structure of the initial network can be identified. A sufficient condition to guarantee the controllability of the adaptive pinning control is presented, which shows that the uncertain parameters and the unknown coupling structure of the driven network can be identified successfully under the designed controllers. Finally, a numerical example is given to show the effectiveness of the proposed approach.