摘要
We use the controllability limit theory to study impact of correlation between in- and out-degrees (degree correlation) on edge controllability of real networks. Simulation results and analytic calculations show that the degree correlation plays an important role in the edge controllability of real networks, especially dense real networks. The upper and lower controllability limits hold for all kinds of real networks. Any edge controllability in between the limits is achievable by properly adjusting the degree correlation. In addition, we find that the edge dynamics in some real networks with positive degree correlation may be difficult to control, and explain the rationality of this anomaly based on the controllability limit theory.
作者
刘树林
庞少鹏
Shu-Lin Liu;Shao-Peng Pang(School of Electrical Engineering and Automation,Qilu University of Technology(Shandong Academy of Science),Jinan 250353,China)
基金
Project supported by the National Natural Science Foundation of China (Grant No. 61903208).