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Set stability and synchronization of generalized asynchronous probabilistic Boolean networks with impulsive effects

Author

Listed:
  • Fukun Liu
  • Yujie Sun
  • Chuan Zhang
  • Lunshi Xu
  • Hao Zhang

Abstract

This paper investigates the set stability of generalized asynchronous probabilistic Boolean networks (GAPBNs) with impulsive effects. To this end, an efficient algorithm is designed to determine the largest invariant set of a given set. A necessary and sufficient criterion is then derived to determine set stability of GAPBNs with impulsive effects. Subsequently, the global stability and synchronization of GAPBNs with impulsive effects were verified by selecting different sets. Finally, examples are given to illustrate the results on set stability and synchronization.

Suggested Citation

  • Fukun Liu & Yujie Sun & Chuan Zhang & Lunshi Xu & Hao Zhang, 2025. "Set stability and synchronization of generalized asynchronous probabilistic Boolean networks with impulsive effects," PLOS ONE, Public Library of Science, vol. 20(2), pages 1-14, February.
    • Handle: RePEc:plo:pone00:0318038
    DOI: 10.1371/journal.pone.0318038
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    References listed on IDEAS

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    1. Chao Luo & Xingyuan Wang, 2013. "Dynamics of Random Boolean Networks under Fully Asynchronous Stochastic Update Based on Linear Representation," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-12, June.
    2. Dai, Shaoyu & Li, Bowen & Lu, Jianquan & Zhong, Jie & Liu, Yang, 2023. "A unified transform method for general robust property of probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    3. 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.
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