[1]陈世明,程运洪,邓兵.有向相依网络的可控性研究[J].智能系统学报,2018,13(4):602-609.[doi:10.11992/tis.201703020]
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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《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
13
期数:
2018年第4期
页码:
602-609
栏目:
学术论文—智能系统
出版日期:
2018-07-05
- Title:
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Research on the controllability of directed interdependent networks
- 作者:
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陈世明, 程运洪, 邓兵
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华东交通大学 电气与自动化工程学院, 江西 南昌 330013
- 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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- 关键词:
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有向网络; 相依网络; 相依方式; 严格可控性
- Keywords:
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directed network; interdependent network; interdependency; exact controllability
- 分类号:
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TP273;N941
- DOI:
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10.11992/tis.201703020
- 摘要:
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针对相依方式对有向相依网络可控性的影响,研究了不同相依方式下有向相依网络的可控性。通过构建基本的有向相依网络模型,结合严格可控性理论,给出了可控性评判指标。同时基于经典的有向随机网络和有向无标度网络,提出3种有向相依网络模型,并研究了随机相依条件下有向相依网络的可控性。随后定义了3种相依方式,并对比分析了在不同相依方式下有向相依网络的可控性。结果表明,在同等相依比例下,基于最低入度与最低出度节点相依的有向相依网络可控性最强,而基于最高入度与最高出度节点相依的有向相依网络可控性最弱,研究成果能够为实际有向相依网络的构建提供有益的参考和指导。
- 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.
备注/Memo
收稿日期:2017-03-15。
基金项目:国家自然科学基金项目(61364017).
作者简介:陈世明,男,1977年生,教授,博士生导师,主要研究方向为群体动力学与协调控制、复杂网络理论及应用、多机器人系统、粒子群优化算法。先后主持国家自然科学基金项目3项、其他省部级项目10余项,发表学术论文70余篇,其中SCI、EI检索近50篇;程运洪,男,1991年生,硕士研究生,主要研究方向为相依网络的鲁棒性优化研究;邓兵,男,1991年生,硕士研究生,主要研究方向相依网络级联失效的可控性研究。
通讯作者:陈世明.E-mail:shmchen@ecjtu.jx.cn.
更新日期/Last Update:
2018-08-25