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Local stabilization of Boolean control networks via stochastic sampled-data control

Author

Listed:
  • Chen, Bingquan
  • Li, Bowen
  • Wu, Tao
  • Zheng, Yanling

Abstract

This paper develops a stochastic sampled-data control framework for the local stabilization of Boolean control networks, where the sampling intervals are assumed to be independent and identically distributed random variables. A fundamental equivalence is established between the convergence of the full system state sequence and that of the sampled state subsequence. Based on the equivalence, we propose methods to determine the largest finite-time stabilizable region and the largest asymptotically stabilizable region, respectively. Corresponding control design strategies are provided to achieve stabilization within these regions. Moreover, a unified control scheme is proposed to simultaneously ensure both finite-time and asymptotic stabilization within their respective largest stabilizable regions. Finally, the applicability of the methods is demonstrated using two examples.

Suggested Citation

  • Chen, Bingquan & Li, Bowen & Wu, Tao & Zheng, Yanling, 2026. "Local stabilization of Boolean control networks via stochastic sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 511(C).
    • Handle: RePEc:eee:apmaco:v:511:y:2026:i:c:s0096300325004710
    DOI: 10.1016/j.amc.2025.129746
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    References listed on IDEAS

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    1. Ji, Hankang & Li, Yuanyuan & Ding, Xueying & Alghamdi, Sultan M. & Lu, Jianquan, 2024. "Stability analysis of Boolean networks: An eigenvalue approach," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    2. Mu, Tiantian & Feng, Jun-e & Wang, Biao, 2025. "Set stabilization of Boolean control networks based on bisimulations: A dimensionality reduction approach," Applied Mathematics and Computation, Elsevier, vol. 496(C).
    3. Dai, Shaoyu & Li, Bowen & Lu, Jianquan & Zhong, Jie & Liu, Yang, 2023. "A unified transform method for general robust property of probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    4. Wang, Yong & Zhong, Jie & Pan, Qinyao & Li, Ning, 2024. "Minimal pinning control for set stability of Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    5. Chen, Haodong & Li, Lulu & Lu, Jianquan & Alghamdi, Sultan M, 2023. "Asymptotical set stabilization of large-scale logical networks with stochastic delays and the application in finite-field networks," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    6. Du, Leihao & Zhang, Zhipeng & Xia, Chengyi, 2023. "A state-flipped approach to complete synchronization of Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    Full references (including those not matched with items on IDEAS)

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