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复杂系统与复杂性科学  2015, Vol. 12 Issue (2): 23-31    DOI: 10.13306/j.1672-3813.2015.02.004
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时效复杂网络结构可控性研究
潘玉剑, 李翔
复旦大学信息科学与工程学院电子工程系自适应网络与控制研究室,上海 200433
On the Structural Controllability of Temporal Complex Networks
PAN Yujian, LI Xiang
Lab of Adaptive Networks and Control, Department of Electronic Engineering, School of Information Science and Engineering, Fudan University, Shanghai 200433, China
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摘要 在对有关静态网络结构可控性研究进行归纳总结的基础上,进一步提出时效网络结构的可控性研究方法。首先,通过改进后的最大匹配方法,初步揭示出时效网络的可控性特征;其次,通过将时效网络映射到LTV系统,给出研究时效网络结构可控的规范框架;最后,在此框架的基础之上,进一步分析了单节点控制器情形下的网络节点控制中心性的上下界。
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潘玉剑
李翔
关键词 结构可控性时效网络线性时不变系统线性时变系统    
Abstract:With reviewing the existing studies on the structural controllability of static networks, we explore the approach to understand and analyze the structural controllability of temporal networks. We firstly reveal the characteristics of the structural controllability of temporal networks by the improved maximum matching method; then, by mapping a temporal into a LTV system, we give a framework to study the structural controllability of temporal networks; finally, on the basis of this framework, we further analyze the upper and lower bounds of network nodes′ controlling centrality in the case of single controller.
Key wordsstructural controllability    temporal networks    linear time-invariant systems    linear time-variant systems
收稿日期: 2014-09-25      出版日期: 2026-06-22
ZTFLH:  N94  
基金资助:国家自然科学基金(61273223);国家杰出青年科学基金;科技部973计划(2010CB731403);教育部高校博士点基金(20120071110029)
通讯作者: 李翔(1975-),男,湖南衡阳人,博士,教授,主要研究方向为复杂网络与系统控制的理论及其应用。   
作者简介: 潘玉剑(1988 -),男,江苏盐城人,硕士研究生,主要研究方向为时效复杂网络的结构可控性。
引用本文:   
潘玉剑, 李翔. 时效复杂网络结构可控性研究[J]. 复杂系统与复杂性科学, 2015, 12(2): 23-31.
PAN Yujian, LI Xiang. On the Structural Controllability of Temporal Complex Networks[J]. Complex Systems and Complexity Science, 2015, 12(2): 23-31.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2015.02.004      或      https://fzkx.qdu.edu.cn/CN/Y2015/V12/I2/23
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