Identifying influential nodes to enlarge the coupling range of pinning controllability
Mingyang Zhou, Rong-qin Xu, Xiaoyu Li, Hao Liao · Journal of Statistical Mechanics Theory and Experiment · 2020
Abstract Choosing influential nodes is crucial for pinning complex networks. However, most previous works only optimize the eigenratio of the Laplacian relevant matrices. Here, we address the problem of how to optimize the coupling range of a pinned system. Based on the matrix perturbation theory, we proposed a method to choose optimal pinning nodes. The detected pinning nodes could maximize the coupling range and outperform the classical methods. Besides, compared with the state of the art methods, the proposed method has high robustness and performs well across different networks, whereas the performance of previous methods fluctuates largely in different networks. Simulation results in real networks demonstrate the effectiveness of the proposed method.