Identifying partial topology of complex dynamical networks with distributed delay

Though the discrete delay has been extensively studied in the field of network topology identification, little attention has been paid to the distributed delay. In this paper, we address the partial topology identification problem of complex dynamical networks with distributed delay. By constructing a response network having fewer nodes than the drive network, partial topology of networks with distributed delay can be identified under the widely-used linear independence condition. It is the first time that the distributed delay has been successfully addressed in the field of topology identification. Finally, we provide two numerical examples to verify the effectiveness of the theoretical results.& COPY; 2023 Elsevier B.V. All rights reserved.