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State feedback controller design for the synchronization of Boolean networks with time delays

Author

Listed:
  • Li, Fangfei
  • Li, Jianning
  • Shen, Lijuan

Abstract

State feedback control design to make the response Boolean network synchronize with the drive Boolean network is far from being solved in the literature. Motivated by this, this paper studies the feedback control design for the complete synchronization of two coupled Boolean networks with time delays. A necessary condition for the existence of a state feedback controller is derived first. Then the feedback control design procedure for the complete synchronization of two coupled Boolean networks is provided based on the necessary condition. Finally, an example is given to illustrate the proposed design procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:1267-1276
    DOI: 10.1016/j.physa.2017.08.041
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    References listed on IDEAS

    as
    1. Liu, Qiuli, 2012. "An optimal control approach to probabilistic Boolean networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6682-6689.
    2. 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.
    3. Epstein, Daniel & Bazzan, Ana L.C., 2013. "The value of less connected agents in Boolean networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5387-5398.
    4. Hung, Yao-Chen & Lin, Chai-Yu, 2014. "Modeling intrinsic noise in random Boolean networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 121-127.
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    Citations

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    Cited by:

    1. 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).
    2. Chunxiang Li & Lijuan Shen & Fangshu Hui & Wen Luo & Zhongliang Wang, 2023. "Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses," Mathematics, MDPI, vol. 11(7), pages 1-17, March.
    3. Tang, Yu & Li, Lulu & Lu, Jianquan, 2022. "Modeling and optimization for networked evolutionary games with player exit mechanism: Semi-tensor product of matrices method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    4. 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.

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