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Fixed/preassigned-time stabilization of discontinuous switched systems with time-varying delays

Author

Listed:
  • Cheng, Tingting
  • Wang, Leimin
  • Wei, Zhouchao
  • Zhang, Guodong

Abstract

The finite-time stabilization of discontinuous switched systems is a highly challenging problem. To address this problem, this article proposes a unified controller that achieves fixed-time and preassigned-time stabilization of discontinuous switched systems with time-varying delays, which is superior to finite-time stabilization. Compared with finite-time stabilization results, the settling time for fixed-time stabilization is independent of the initial state of the system. For preassigned-time stabilization, the settling time can be set in advance regardless of the initial state and controller parameters. Also, the fixed-time and preassigned-time stabilization methods proposed in this article are general and can be extended for applications to other nonlinear discontinuous systems with time delays.

Suggested Citation

  • Cheng, Tingting & Wang, Leimin & Wei, Zhouchao & Zhang, Guodong, 2024. "Fixed/preassigned-time stabilization of discontinuous switched systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    • Handle: RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002315
    DOI: 10.1016/j.amc.2024.128763
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    References listed on IDEAS

    as
    1. Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
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