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The evolution of network controllability in growing networks

Author

Listed:
  • Zhang, Rui
  • Wang, Xiaomeng
  • Cheng, Ming
  • Jia, Tao

Abstract

The study of network structural controllability focuses on the minimum number of driver nodes needed to control a whole network. Despite intensive studies on this topic, most of them consider static networks only. It is well-known, however, that real networks are growing, with new nodes and links added to the system. Here, we analyze controllability of evolving networks and propose a general rule for the change of driver nodes. We further apply the rule to solve the problem of network augmentation subject to the controllability constraint. The findings strengthen our understandings of network controllability and shed light on controllability of real systems.

Suggested Citation

  • Zhang, Rui & Wang, Xiaomeng & Cheng, Ming & Jia, Tao, 2019. "The evolution of network controllability in growing networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 257-266.
  • Handle: RePEc:eee:phsmap:v:520:y:2019:i:c:p:257-266
    DOI: 10.1016/j.physa.2019.01.042
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    References listed on IDEAS

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    8. Chen, Shi-Ming & Xu, Yun-Fei & Nie, Sen, 2017. "Robustness of network controllability in cascading failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 536-539.
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    Cited by:

    1. Yu, Xiaoyao & Liang, Yongqing & Wang, Xiaomeng & Jia, Tao, 2021. "The network asymmetry caused by the degree correlation and its effect on the bimodality in control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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