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Robustness of network controllability in cascading failure

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  • Chen, Shi-Ming
  • Xu, Yun-Fei
  • Nie, Sen

Abstract

It is demonstrated that controlling complex networks in practice needs more inputs than that predicted by the structural controllability framework. Besides, considering the networks usually faces to the external or internal failure, we define parameters to evaluate the control cost and the variation of controllability after cascades, exploring the effect of number of control inputs on the controllability for random networks and scale-free networks in the process of cascading failure. For different topological networks, the results show that the robustness of controllability will be stronger through allocating different control inputs and edge capacity.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:536-539
    DOI: 10.1016/j.physa.2016.12.045
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    References listed on IDEAS

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    1. Noah J Cowan & Erick J Chastain & Daril A Vilhena & James S Freudenberg & Carl T Bergstrom, 2012. "Nodal Dynamics, Not Degree Distributions, Determine the Structural Controllability of Complex Networks," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-5, June.
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    4. 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.
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    Cited by:

    1. Liu, Jie & Schonfeld, Paul M. & Shuai, Chunyan & He, Mingwei & Wang, Kelvin C.P., 2022. "The controllability of China’s high-speed rail network in terms of delivering emergency supplies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    2. Yin, Rong-Rong & Yuan, Huaili & Wang, Jing & Zhao, Ning & Liu, Lei, 2021. "Modeling and analyzing cascading dynamics of the urban road traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    3. Wu, Yipeng & Chen, Zhilong & Zhao, Xudong & Liu, Ying & Zhang, Ping & Liu, Yajiao, 2021. "Robust analysis of cascading failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    4. 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.
    5. Qi, Xiaogang & Yang, Guizhen & Liu, Lifang, 2020. "Robustness analysis of the networks in cascading failures with controllable parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    6. Jing, Ke & Du, Xinru & Shen, Lixin & Tang, Liang, 2019. "Robustness of complex networks: Cascading failure mechanism by considering the characteristics of time delay and recovery strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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