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Effect of degree correlation on edge controllability of real networks |
Shu-Lin Liu(刘树林) and Shao-Peng Pang(庞少鹏)† |
1 School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Science), Jinan 250353, China |
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Abstract 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.
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Received: 05 April 2020
Revised: 24 May 2020
Accepted manuscript online: 05 June 2020
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PACS:
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02.30.Yy
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(Control theory)
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89.75.Fb
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(Structures and organization in complex systems)
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Corresponding Authors:
†Corresponding author. E-mail: shaopengpang@qlu.edu.cn
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About author: †Corresponding author. E-mail: shaopengpang@qlu.edu.cn * Project supported by the National Natural Science Foundation of China (Grant No. 61903208). |
Cite this article:
Shu-Lin Liu(刘树林) and Shao-Peng Pang(庞少鹏)† Effect of degree correlation on edge controllability of real networks 2020 Chin. Phys. B 29 100202
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