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Fault detection and pinning control of Boolean networks

Author

Listed:
  • Wang, Yu
  • Yang, Yujing
  • Liu, Yang
  • Lou, Jungang

Abstract

This paper addresses the fault detection of Boolean networks (BNs) using semi-tensor product (STP) of matrices. We first introduce the concept of meaningful faults, and give an equivalent condition for fault sequence to be detectable. Next, an algorithm is presented to determine whether it occurs a fault and identify the specific location of the fault. Further, structure matrix of the faulty BNs can be derived. In order to estimate or reduce the impact of the fault on the BN, the global stabilization of BNs is investigated through partial pinning control. Finally, examples are given to illustrate the validity of the given results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:429:y:2022:i:c:s009630032200306x
    DOI: 10.1016/j.amc.2022.127232
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    References listed on IDEAS

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    1. Li, Yalu & Li, Haitao & Li, Yuanyuan, 2021. "Constrained set controllability of logical control networks with state constraints and its applications," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    2. Wenhui Dou & Guodong Zhao & Haitao Li & Qi Chen, 2022. "Off-line fault detection of logical control networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(3), pages 478-487, February.
    3. Liu, Yansheng & Song, Mengjin & Li, Haitao & Li, Yalu & Hou, Wenying, 2021. "Containment problem of finite-field networks with fixed and switching topology," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    4. Zhe Dong, 2017. "Boolean Network-Based Sensor Selection with Application to the Fault Diagnosis of a Nuclear Plant," Energies, MDPI, vol. 10(12), pages 1-13, December.
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    Cited by:

    1. 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).

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