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Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation

Author

Listed:
  • Qilong Sun

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

  • Haitao Li

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

Abstract

This paper studies the robust stabilization of impulsive Boolean control networks (IBCNs) with function perturbation. A Boolean control network (BCN) with a state-dependent impulsive sequence is converted to an equivalent BCN by the semi-tensor product method. Based on the equivalence of stabilization between the IBCN and the corresponding BCN, several criteria are proposed for the robust stabilization of IBCNs. Furthermore, when the IBCN is not robustly stabilizable after the function perturbation, an algorithm is presented to modify the control or the impulse-triggered set. Finally, an example is given to verify the obtained results.

Suggested Citation

  • Qilong Sun & Haitao Li, 2022. "Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation," Mathematics, MDPI, vol. 10(21), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4029-:d:957887
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    References listed on IDEAS

    as
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    6. 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.
    7. Lu Pang & Cheng Hu & Juan Yu & Haijun Jiang, 2022. "Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks," Mathematics, MDPI, vol. 10(9), pages 1-16, May.
    8. Shuling Wang & Haitao Li, 2021. "Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition," Mathematics, MDPI, vol. 9(9), pages 1-17, April.
    9. Li, Xiaodong & Li, Haitao & Li, Yalu & Yang, Xinrong, 2020. "Function perturbation impact on stability in distribution of probabilistic Boolean networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 1-12.
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