Topology Identification of General Uncertain Complex Dynamic Networks with Time Delay and Noise Perturbation Based on Generalized Lag Synchronization

In this paper, we present a generalized lag synchronization-based method to identify the exact topology of uncertain complex networks with time delay and noise perturbation. By designing new controllers and novel adaptive identification rules, the unknown topological structure of the network is successfully identified in the process of synchronization. Meanwhile, we discuss the effect of time delay and noise perturbation. According to our study, moderate noise and time delay can enhance the effect of topology identification. Corresponding numerical simulations are presented to illustrate the effectiveness of the proposed method.