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State analysis of Boolean control networks with impulsive and uncertain disturbances

Author

Listed:
  • Gao, Bo
  • Deng, Zheng-hong
  • Zhao, Da-wei
  • Song, Qun

Abstract

In this paper, we put forward a method for the state analysis of Boolean control networks with impulsive and uncertain disturbances. In detail, we introduce the probability in the analysis of the state of Boolean networks. Mathematically, the STP as the analytical tool, has be used for the modeling of uncertainty. In addition, we give a mathematical proof for the model. Lastly, we conduct some simulations which validate the efficiency for this model.

Suggested Citation

  • Gao, Bo & Deng, Zheng-hong & Zhao, Da-wei & Song, Qun, 2017. "State analysis of Boolean control networks with impulsive and uncertain disturbances," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 187-192.
    • Handle: RePEc:eee:apmaco:v:301:y:2017:i:c:p:187-192
    DOI: 10.1016/j.amc.2016.11.040
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    References listed on IDEAS

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    1. Mathiyalagan, K. & Park, Ju H. & Sakthivel, R., 2015. "Synchronization for delayed memristive BAM neural networks using impulsive control with random nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 967-979.
    2. Gao, Bo & Deng, Zhenghong & Zhao, Dawei, 2016. "Competing spreading processes and immunization in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 175-181.
    3. Chen, Hongwei & Wu, Bo & Lu, Jianquan, 2016. "A minimum-time control for Boolean control networks with impulsive disturbances," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 477-483.
    4. Zang, Hong & Zhang, Tonghua & Zhang, Yanduo, 2015. "Bifurcation analysis of a mathematical model for genetic regulatory network with time delays," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 204-226.
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    Cited by:

    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. Gao, Bo & Liu, Xuan & Lan, Zhongzhou & Fu, Rongrong, 2018. "A novel method for reconstructing period with single input in NFSR," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 36-40.
    3. Gao, Bo & Liu, Xuan & Lan, Zhong-Zhou & Hong, Jie & Zhang, Wenguang, 2021. "The evolution of cooperation with preferential selection in voluntary public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    4. 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.
    5. Guang Zhang & Nan He & Yanxia Dong, 2021. "A Proportional-Egalitarian Allocation Policy for Public Goods Problems with Complex Network," Mathematics, MDPI, vol. 9(17), pages 1-12, August.
    6. Gao, Bo & liu, Xuan & Hou, Shuxia & Jia, Danyang & Du, Mingjing, 2019. "Resolving public goods dilemma by giving the poor more support," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.

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