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On the ensemble controllability of Boolean control networks using STP method

Author

Listed:
  • Zhong, Jie
  • Liu, Yang
  • Kou, Kit Ian
  • Sun, Liangjie
  • Cao, Jinde

Abstract

In this paper, we investigate the ensemble controllability and reachability for a family of Boolean control networks (BCNs). First, BCNs are converted to discrete-time linear dynamics by the semi-tensor product. Then the ensemble controllability of BCNs is studied via a free control sequence and input Boolean network, respectively. Some necessary and sufficient conditions are obtained to judge the ensemble controllability. The existence of the input Boolean network for the ensemble controllability is also discussed. When there are unknown inputs in BCNs, necessary and sufficient conditions for the controllability are presented as well. Finally, examples are analyzed to show the effectiveness of the proposed results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:51-62
    DOI: 10.1016/j.amc.2019.03.059
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    References listed on IDEAS

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    1. Mao, Ying & Wang, Liqing & Liu, Yang & Lu, Jianquan & Wang, Zhen, 2018. "Stabilization of evolutionary networked games with length-r information," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 442-451.
    2. Zhao, Guodong & Wang, Yuzhen & Li, Haitao, 2016. "A matrix approach to modeling and optimization for dynamic games with random entrance," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 9-20.
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    Cited by:

    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. Xinrong Yang & Zhenping Geng & Haitao Li, 2023. "Matrix-Based Method for the Analysis and Control of Networked Evolutionary Games: A Survey," Games, MDPI, vol. 14(2), pages 1-13, February.
    3. Wang, Yaqi & Lu, Jianquan & Cao, Jinde & Huang, Wei & Guo, Jianhua & Wei, Yun, 2020. "Input-to-state stability of the road transport system via cyber–physical optimal control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 3-12.
    4. 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).
    5. 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).
    6. Guo, Peilian & Han, Changda, 2021. "Nash equilibrium and group strategy consensus of networked evolutionary game with coupled social groups," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    7. 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).

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