Finite-Time Topology Identification for Complex Dynamical Networks

This paper presents a finite-time topology identification method for complex dynamical networks. This method prevents the difficulty of verifying linear independence conditions and ensures the success of accurate topology identification. The topology identification scheme first renders the error dynamics between the networks and reference signals zero in finite time, and afterward, the topology is estimated by building an auxiliary network. The identification of topology is achieved once a relaxed excitation condition holds. The excitation condition is guaranteed by the proposed tracking control scheme. A finitetime topology identification and synchronization scheme for complex systems is further proposed where synchronization is realized by removing the exciting signals after the identification of the topology. At last, the simulation results verify the feasibility of the proposed method.