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Complex Systems and Networks pp 341–371Cite as

Towards Structural Controllability of Temporal Complex Networks

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Part of the book series: Understanding Complex Systems ((UCS))

Abstract

Temporal complex networks are ubiquitous in human daily life whose topologies evolve with time, such as communication networks and transportation networks. Investigations on the structural controllability of temporal complex networks show the properties and performances of controllability when the weights of edges in temporal networks are arbitrary values rather than exact ones. There are two frameworks proposed in this chapter to analyze the structural controllability of temporal networks. In the first framework, a temporal network is treated as a sequence of characteristic subgraphs with different characteristic time stamps. After finding the maximum characteristic subgraph set from these subgraphs, priority maximum methods are applied to improve the controlling efficiency by which temporal information of the network remains. On the other hand, in the later framework, a temporal network is represented by time-ordered graph (TOG). Instead of calculating the rank of controllability matrix directly, finding and classifying temporal trees of the time-ordered graph provides an effective way to estimate the controlling centrality of a node in the network.

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Acknowledgments

This work was partly supported by National Science Foundation for Distinguished Young Scholar of China (No. 61425019), National Natural Science Foundation (No. 61273223), the Research Fund for the Doctoral Program of Higher Education (No. 20120071110029) of China, the Key Project of National Social Science Fund of China (No. 12&ZD18), and Shanghai SMEC-EDF Shuguang Project.

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  1. Adaptive Networks and Control Lab, Department of Electronic Engineering, and Research Center of Smart Networks & Systems, School of Information Science & Engineering, Fudan University, Shanghai, 200433, People’s Republic of China

    Xiang Li, Peng Yao & Yujian Pan

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  1. Xiang Li
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  2. Peng Yao
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  3. Yujian Pan
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Correspondence to Xiang Li .

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Editors and Affiliations

  1. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

    Jinhu Lü

  2. School of Electrical and Computer Engineering, RMIT University, Melbourne, Australia

    Xinghuo Yu

  3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

    Guanrong Chen

  4. Department of Mathematics, Southeast University, Nanjing, China

    Wenwu Yu

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Li, X., Yao, P., Pan, Y. (2016). Towards Structural Controllability of Temporal Complex Networks. In: Lü, J., Yu, X., Chen, G., Yu, W. (eds) Complex Systems and Networks. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47824-0_13

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