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Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control

Author

Listed:
  • Jia, Jinping
  • Dai, Hao
  • Zhang, Fandi
  • Huang, Jianwen

Abstract

The global stabilization problem is investigated in the present paper for a class of stochastic nonlinear systems, whose structure is in a p-normal form (0

Suggested Citation

  • Jia, Jinping & Dai, Hao & Zhang, Fandi & Huang, Jianwen, 2022. "Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    • Handle: RePEc:eee:apmaco:v:429:y:2022:i:c:s0096300322003083
    DOI: 10.1016/j.amc.2022.127234
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    References listed on IDEAS

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    1. Gao, Ming & Sheng, Li & Zhang, Weihai, 2015. "Stochastic H2/H∞ control of nonlinear systems with time-delay and state-dependent noise," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 429-440.
    2. Wang, Yingchun & Zhang, Jiaxin & Zhang, Huaguang & Xie, Xiangpeng, 2021. "Finite-time adaptive neural control for nonstrict-feedback stochastic nonlinear systems with input delay and output constraints," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    3. Xuhuan Wang & Zhengrong Xiang, 2020. "Global finite-time stabilisation for a class of nonlinear systems in the p-normal form via output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(9), pages 1604-1621, July.
    4. Jian Zhang & Yungang Liu, 2012. "Nonsmooth Adaptive Control Design for a Large Class of Uncertain High-Order Stochastic Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-21, February.
    5. Nguyen, Cuong M. & Tan, Chee Pin & Trinh, Hieu, 2021. "State and delay reconstruction for nonlinear systems with input delays," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    Full references (including those not matched with items on IDEAS)

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