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Robust minimal strong reconstructibility problem of Boolean control networks

Author

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  • Li, Xi
  • Liu, Yang
  • Lou, Jungang
  • Lu, Jianquan

Abstract

In this paper, the problem of robust minimal strong reconstructibility (RMSR) of Boolean control networks (BCNs) with multi-bit perturbations is studied by using graph theory. The problem takes the premise that BCNs are strongly reconstructible before function perturbation. We analyze the effect of the multi-bit perturbation on the strong reconstructibility of BCNs and present two valid criteria for the robust strong reconstructibility of BCNs. Then, to avoid the effect of function perturbation on the strong reconstructibility of BCNs, the problem of adding a minimal sensor set is considered, thereby making the BCNs robust minimal strong reconstructible after function perturbation. Finally, the results are applied to a biological example.

Suggested Citation

  • Li, Xi & Liu, Yang & Lou, Jungang & Lu, Jianquan, 2023. "Robust minimal strong reconstructibility problem of Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    • Handle: RePEc:eee:apmaco:v:458:y:2023:i:c:s0096300323003788
    DOI: 10.1016/j.amc.2023.128209
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    References listed on IDEAS

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    1. Zhong, Jie & Liu, Yang & Kou, Kit Ian & Sun, Liangjie & Cao, Jinde, 2019. "On the ensemble controllability of Boolean control networks using STP method," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 51-62.
    2. Xiangshan Kong & Haitao Li, 2022. "Finite-time sampled-data set stabilisation of delayed probabilistic Boolean control networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(14), pages 2935-2947, October.
    3. Wang, Yu & Yang, Yujing & Liu, Yang & Lou, Jungang, 2022. "Fault detection and pinning control of Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    4. Wang, Jianjun & Liu, Wen & Fu, Shihua & Xia, Jianwei, 2022. "On robust set stability and set stabilization of probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    5. Zhu, Sanmei & Feng, Jun-e, 2021. "The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach," Applied Mathematics and Computation, Elsevier, vol. 402(C).
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