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Robustness analysis of network controllability

Author

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  • Pu, Cun-Lai
  • Pei, Wen-Jiang
  • Michaelson, Andrew

Abstract

Structural controllability, which is an interesting property of complex networks, attracts many researchers from various fields. The maximum matching algorithm was recently applied to explore the minimum number of driver nodes, where control signals are injected, for controlling the whole network. Here we study the controllability of directed Erdös–Rényi and scale-free networks under attacks and cascading failures. Results show that degree-based attacks are more efficient than random attacks on network structural controllability. Cascade failures also do great harm to network controllability even if they are triggered by a local node failure.

Suggested Citation

  • Pu, Cun-Lai & Pei, Wen-Jiang & Michaelson, Andrew, 2012. "Robustness analysis of network controllability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4420-4425.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:18:p:4420-4425
    DOI: 10.1016/j.physa.2012.04.019
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    Citations

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    Cited by:

    1. Li, Jian & Dueñas-Osorio, Leonardo & Chen, Changkun & Berryhill, Benjamin & Yazdani, Alireza, 2016. "Characterizing the topological and controllability features of U.S. power transmission networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 84-98.
    2. Ding, Jin & Lu, Yong-Zai & Chu, Jian, 2013. "Studies on controllability of directed networks with extremal optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6603-6615.
    3. Wijesundera, Isuri & Halgamuge, Malka N. & Nirmalathas, Ampalavanapillai & Nanayakkara, Thrishantha, 2016. "MFPT calculation for random walks in inhomogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 986-1002.
    4. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong, 2017. "Aspiration-induced dormancy promotes cooperation in the spatial Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 625-630.
    5. Li, Xin-Feng & Lu, Zhe-Ming, 2016. "Optimizing the controllability of arbitrary networks with genetic algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 422-433.
    6. Yin, Hongli & Zhang, Siying, 2016. "Minimum structural controllability problems of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 467-476.
    7. Azzolin, Alberto & Dueñas-Osorio, Leonardo & Cadini, Francesco & Zio, Enrico, 2018. "Electrical and topological drivers of the cascading failure dynamics in power transmission networks," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 196-206.
    8. Kumar, Rajesh & Kumari, Suchi & Mishra, Anubhav, 2023. "Robustness of multilayer networks: A graph energy perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).
    9. Zhang, Liwen & Xiang, Linying & Zhu, Jiawei, 2022. "Relationship between fragility and resilience in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    10. Wenpin Hou & Takeyuki Tamura & Wai-Ki Ching & Tatsuya Akutsu, 2016. "Finding And Analyzing The Minimum Set Of Driver Nodes In Control Of Boolean Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-32, May.
    11. Schaum, Alexander & Bernal Jaquez, Roberto, 2016. "Estimating the state probability distribution for epidemic spreading in complex networks," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 197-206.
    12. Hao, Yucheng & Jia, Limin & Wang, Yanhui, 2020. "Robustness of weighted networks with the harmonic closeness against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    13. 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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