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Finite-time stability and stabilization for time-varying systems

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  • He, Xinyi
  • Li, Xiaodi
  • Nieto, Juan J.

Abstract

This paper considers finite-time stability and stabilization for time-varying systems. By developing classical Lyapunov method, sufficient conditions are presented to guarantee the finite-time stability for more general time-varying systems that are not covered in other existing results. Estimates of the corresponding attraction domain and settling time are derived along the analysis of finite-time stability, and the proposed results are utilized in the problem of finite-time stabilization for a class of controlled systems. Two examples and their simulations are given to verify the effectiveness of the theoretical results.

Suggested Citation

  • He, Xinyi & Li, Xiaodi & Nieto, Juan J., 2021. "Finite-time stability and stabilization for time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004306
    DOI: 10.1016/j.chaos.2021.111076
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    References listed on IDEAS

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    1. Arezou Elahi & Alireza Alfi, 2020. "Finite-time stabilisation of discrete networked cascade control systems under transmission delay and packet dropout via static output feedback control," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(1), pages 87-101, January.
    2. Hu, Cheng & Mei, Xuehui & Yu, Juan & Jiang, Haijun, 2014. "Finite-time uniform stability of functional differential equations with applications in network synchronization control," Chaos, Solitons & Fractals, Elsevier, vol. 62, pages 10-22.
    3. Wang, Cong & Zhang, Hong-li & Fan, Wen-hui & Ma, Ping, 2020. "Finite-time function projective synchronization control method for chaotic wind power systems," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
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    Cited by:

    1. Wu, Jie & He, Xinyi & Li, Xiaodi, 2022. "Finite-time stabilization of time-varying nonlinear systems based on a novel differential inequality approach," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    2. Jiang, Ziling & Huang, Fan & Shao, Haijian & Cai, Shuiming & Lu, Xiaobo & Jiang, Shengqin, 2023. "Time-varying finite-time synchronization analysis of attack-induced uncertain neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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