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Event-triggered mechanism of designing set stabilization state feedback controller for switched Boolean networks

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  • Zhang, Qiliang
  • Feng, Jun-e
  • Wang, Biao
  • Wang, Peihe

Abstract

In this paper, the set stabilization problem of switched Boolean networks is reinvestigated. An event-triggered mechanism is formulated in the process of designing time-varying set stabilization state feedback controller. First, compared with the existing results, an improved algorithm which can effectively reduce computational complexity of calculating the maximum control invariant set is given. Second, using Warshall algorithm, an explicit criterion is derived to check whether a switched Boolean network satisfies set stabilization. Third, a systematic procedure is devised to design event-triggered set stabilization state feedback controller of switched Boolean networks. Then, a method is proposed to obtain all possible event-triggered state feedback controllers for set stabilization of switched Boolean networks. Finally, two examples are shown to demonstrate the effectiveness of presented results.

Suggested Citation

  • Zhang, Qiliang & Feng, Jun-e & Wang, Biao & Wang, Peihe, 2020. "Event-triggered mechanism of designing set stabilization state feedback controller for switched Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    • Handle: RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320303362
    DOI: 10.1016/j.amc.2020.125372
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    References listed on IDEAS

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    Cited by:

    1. 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).
    2. Xiangshan Kong & Qilong Sun & Haitao Li, 2022. "Survey on Mathematical Models and Methods of Complex Logical Dynamical Systems," Mathematics, MDPI, vol. 10(20), pages 1-17, October.
    3. Zhang, Anguo & Li, Lulu & Li, Yuanyuan & Lu, Jianquan, 2021. "Finite-time output tracking of probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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