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Feedback control design for the complete synchronisation of two coupled Boolean networks

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  • Fangfei Li

Abstract

In the literatures, to design state feedback controllers to make the response Boolean network synchronise with the drive Boolean network is rarely considered. Motivated by this, feedback control design for the complete synchronisation of two coupled Boolean networks is investigated in this paper. A necessary condition for the existence of a state feedback controller achieving the complete synchronisation is established first. Then, based on the necessary condition, the feedback control law is proposed. Finally, an example is worked out to illustrate the proposed design procedure.

Suggested Citation

  • Fangfei Li, 2016. "Feedback control design for the complete synchronisation of two coupled Boolean networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2996-3003, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2996-3003
    DOI: 10.1080/00207721.2015.1053834
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    Cited by:

    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. 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).
    3. Tong, Liyun & Liu, Yang & Lou, Jungang & Lu, Jianquan & Alsaadi, Fuad E., 2018. "Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 263-275.
    4. Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    5. Li, Fangfei & Li, Jianning & Shen, Lijuan, 2018. "State feedback controller design for the synchronization of Boolean networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1267-1276.
    6. Li, Meilin & Lu, Jianquan & Lou, Jungang & Liu, Yang & Alsaadi, Fuad E., 2018. "The equivalence issue of two kinds of controllers in Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 633-640.
    7. Liang Chen & Chengdai Huang & Haidong Liu & Yonghui Xia, 2019. "Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order," Mathematics, MDPI, vol. 7(6), pages 1-16, June.

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