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Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design

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  • Yang, Xinrong
  • Sun, Qilong
  • Li, Haitao
  • Kong, Xiangshan

Abstract

This paper discusses the design of impulsive sequence for the set stabilizability of impulsive probabilistic Boolean networks (IPBNs). By converting the dynamics of IPBNs into the corresponding probabilistic Boolean control networks, the state feedback impulsive sequence design is transformed into the state feedback control design. Several criteria are obtained for the set stabilizability in finite time with probability one and set stabilizability in distribution of IPBNs, respectively, by designing the state feedback impulsive sequences.

Suggested Citation

  • Yang, Xinrong & Sun, Qilong & Li, Haitao & Kong, Xiangshan, 2023. "Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    • Handle: RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001145
    DOI: 10.1016/j.amc.2023.127945
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    References listed on IDEAS

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    1. Li, Haitao & Xu, Xiaojing & Ding, Xueying, 2019. "Finite-time stability analysis of stochastic switched boolean networks with impulsive effect," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 557-565.
    2. Yongming Li & Junkang Tian & Jinzhou Zhao & Liehui Zhang & Tiejun Li, 2012. "Improved Stability Analysis for Neural Networks with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-19, June.
    3. Chen, Hao & Sun, Jitao, 2012. "Stability analysis for coupled systems with time delay on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 528-534.
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