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Adaptive Finite-Time Control of Stochastic Genetic Regulatory Networks with Time-Varying Delays

Author

Listed:
  • Lulu Wu

    (School of Science, Shandong Jianzhu University, Jinnan 250101, China)

  • Feifei Liu

    (School of Science, Shandong Jianzhu University, Jinnan 250101, China)

  • Haibo Gu

    (Beijing Advanced Innovation Center for Big Data and Brain Computing, School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China)

  • Pei Wang

    (School of Mathematics and Statistics, Henan University, Kaifeng 475004, China)

Abstract

This article discusses the finite-time stability problem for stochastic genetic regulatory networks (SGRNs) with time-varying delays. By designing suitable adaptive controllers and skillfully choosing appropriate Lyapunov and multi-Lyapunov functions, respectively, the above non-switched and switched SGRNs can achieve finite time stability in probability. Superior to some existing controllers for GRNs, the above adaptive design procedures can reduce the dependence of the system parameters. Finally, two numerical simulation examples illustrate the effectiveness of the theoretical results.

Suggested Citation

  • Lulu Wu & Feifei Liu & Haibo Gu & Pei Wang, 2022. "Adaptive Finite-Time Control of Stochastic Genetic Regulatory Networks with Time-Varying Delays," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4071-:d:960001
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    References listed on IDEAS

    as
    1. Shanmugam Saravanan & M. Syed Ali & Grienggrai Rajchakit & Bussakorn Hammachukiattikul & Bandana Priya & Ganesh Kumar Thakur & Jianquan Lu, 2021. "Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality," Complexity, Hindawi, vol. 2021, pages 1-21, January.
    2. Lizi Yin, 2014. "Finite-Time Stability Analysis of Switched Genetic Regulatory Networks," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, January.
    3. Jia Xu & Jitao Sun, 2013. "Finite-time stability of nonlinear switched impulsive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 889-895.
    4. Xue, Huanbin & Xu, Xiaohui & Zhang, Jiye & Yang, Xiaopeng, 2019. "Robust stability of impulsive switched neural networks with multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 456-475.
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