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Finite-time stability analysis of stochastic switched boolean networks with impulsive effect

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  • Li, Haitao
  • Xu, Xiaojing
  • Ding, Xueying

Abstract

This paper analyzes the finite-time stability of stochastic switched Boolean networks (SBNs) with impulsive effect. Using the algebraic state space representation (ASSR) approach, the dynamics of SBNs with impulsive effect is converted to an algebraic form. Based on the algebraic form, some necessary and sufficient conditions are presented for the finite-time stability of stochastic SBNs with impulsive effect, including probabilistic switching signal case and Markov jump switching signal case. The study of an illustrative example shows that the obtained new results are effective.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:557-565
    DOI: 10.1016/j.amc.2018.11.018
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    References listed on IDEAS

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    1. Shuo Li & Zhengrong Xiang, 2017. "Stabilisation of a class of positive switched nonlinear systems under asynchronous switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(7), pages 1537-1547, May.
    2. Ding, Xueying & Li, Haitao & Yang, Qiqi & Zhou, Yingrui & Alsaedi, Ahmed & Alsaadi, Fuad E., 2017. "Stochastic stability and stabilization of n-person random evolutionary Boolean games," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 1-12.
    3. Hui Gao & Jianwei Xia & Guangming Zhuang & Zhen Wang & Qun Sun, 2017. "Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems," Complexity, Hindawi, vol. 2017, pages 1-22, November.
    4. 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.
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    Cited by:

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    2. 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).
    3. Liu, Yansheng & Song, Mengjin & Li, Haitao & Li, Yalu & Hou, Wenying, 2021. "Containment problem of finite-field networks with fixed and switching topology," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    4. 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).
    5. Zhu, Sanmei & Feng, Jun-e, 2021. "The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach," Applied Mathematics and Computation, Elsevier, vol. 402(C).
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    8. 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).
    9. Peng, Yuanyuan & Fan, Jinjun & Gao, Min & Li, Jianping, 2021. "Discontinuous dynamics of an asymmetric 2-DOF friction oscillator with elastic and rigid impacts," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    10. Longfei Lin & Yansheng Liu & Daliang Zhao, 2021. "Controllability of Impulsive ψ -Caputo Fractional Evolution Equations with Nonlocal Conditions," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
    11. 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.
    12. Wang, Yong & Zhong, Jie & Pan, Qinyao & Li, Ning, 2024. "Minimal pinning control for set stability of Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    13. Du, Haibo & Yu, Bo & Wei, Jiajia & Zhang, Jun & Wu, Di & Tao, Weiqing, 2020. "Attitude trajectory planning and attitude control for quad-rotor aircraft based on finite-time control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).

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