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Controllability and stabilization of switched boolean control networks with periodic switching restrictions

Author

Listed:
  • Lin, Jiahui
  • Lu, Jianquan
  • Tang, Tianyu
  • Lou, Jungang

Abstract

This article studies the controllability and stabilization problems of switched Boolean control networks (SBCNs) with periodic switching restrictions. The periodic-restricted switching signal and open-loop control input are integrated and converted into a new periodic-restricted variable via the semi-tensor product (STP). Under this setting, an augmented periodic-restricted auxiliary system (APRAS) is constructed, with the new variable serving as switching signal. Leveraging APRAS as a pivotal bridge, several sufficient and necessary conditions are proposed to ensure the single-switching-input controllability, arbitrary-switching-input controllability and periodic-restricted stabilization of SBCNs. Finally, two examples from biological systems are used to confirm the effectiveness.

Suggested Citation

  • Lin, Jiahui & Lu, Jianquan & Tang, Tianyu & Lou, Jungang, 2026. "Controllability and stabilization of switched boolean control networks with periodic switching restrictions," Applied Mathematics and Computation, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:apmaco:v:526:y:2026:i:c:s0096300326001074
    DOI: 10.1016/j.amc.2026.130055
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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. 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).
    3. Yu, Yongyuan & Meng, Min & Feng, Jun-e & Gao, Yan, 2019. "An adjoint network approach to design stabilizable switching signals of switched Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 12-22.
    4. Fu, Shihua & Cheng, Daizhan & Feng, Jun-e & Zhao, Jianli, 2021. "Matrix expression of finite Boolean-type algebras," Applied Mathematics and Computation, Elsevier, vol. 395(C).
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