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Global fixed-time stabilization for switched stochastic nonlinear systems under rational switching powers

Author

Listed:
  • Song, Zhibao
  • Li, Ping
  • Zhai, Junyong
  • Wang, Zhen
  • Huang, Xia

Abstract

This note studies global fixed-time stabilization for switched stochastic nonlinear systems under rational switching powers. With the aid of stochastic fixed-time stability theorem, a new control approach is presented to ensure that the system state globally reaches zero almost surely in fixed time independent of initial conditions. The developed scheme is used to controller design of the liquid-level system.

Suggested Citation

  • Song, Zhibao & Li, Ping & Zhai, Junyong & Wang, Zhen & Huang, Xia, 2020. "Global fixed-time stabilization for switched stochastic nonlinear systems under rational switching powers," Applied Mathematics and Computation, Elsevier, vol. 387(C).
  • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319308483
    DOI: 10.1016/j.amc.2019.124856
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    References listed on IDEAS

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    1. Li, Erpeng & Long, Lijun & Zhao, Jun, 2015. "Global output-feedback stabilization for a class of switched uncertain nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 551-564.
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    Cited by:

    1. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).

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