[1]CHEN Shiming,CHENG Yunhong,DENG Bing.Research on the controllability of directed interdependent networks[J].CAAI Transactions on Intelligent Systems,2018,13(4):602-609.[doi:10.11992/tis.201703020]
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CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
13
Number of periods:
2018 4
Page number:
602-609
Column:
学术论文—智能系统
Public date:
2018-07-05
- Title:
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Research on the controllability of directed interdependent networks
- Author(s):
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CHEN Shiming; CHENG Yunhong; DENG Bing
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School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China
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- Keywords:
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directed network; interdependent network; interdependency; exact controllability
- CLC:
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TP273;N941
- DOI:
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10.11992/tis.201703020
- Abstract:
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In this paper, we consider the influence of interdependency on the controllability of interdependent directed networks and investigate the controllability of interdependent directed networks with different types of interdependency. We build a basic interdependent directed network model and generate a controllability index by introducing the theory of exact controllability. We propose three kinds of interdependent directed network models for classical directed random networks and directed scale-free networks. In addition, we investigate the controllability of the interdependent directed networks with random interdependencies. Based on the results, we propose three kinds of interdependencies and compare and analyze the controllability of interdependent directed networks with different types of interdependency. The results show that, with the same proportion of interdependence, the best controllability of an interdependent directed network is that with an interdependency of lowest in-degree and lowest out-degree nodes, whereas the poorest controllability of an interdependent directed network is that with an interdependency of highest in-degree and highest out-degree nodes. The research results provide a useful reference and guidance for the construction of actual interdependent directed networks.