A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77, TOP 5
Turn off MathJax
Article Contents
F. Wang, J. Gong, Z. Liu, and F. Chen, “Fixed-time stability of random nonlinear systems,” IEEE/CAA J. Autom. Sinica, 2024. doi: 10.1109/JAS.2024.124353
Citation: F. Wang, J. Gong, Z. Liu, and F. Chen, “Fixed-time stability of random nonlinear systems,” IEEE/CAA J. Autom. Sinica, 2024. doi: 10.1109/JAS.2024.124353

Fixed-Time Stability of Random Nonlinear Systems

doi: 10.1109/JAS.2024.124353
Funds:  This work was supported by the National Natural Science Foundation of China under Grant 62103203
More Information
  • loading
  • [1]
    L. Yao, “Improved stability theorems of random nonlinear time delay systems and their application,” Journal of the Franklin Institute, vol. 359, pp. 5596–5618, 2022. doi: 10.1016/j.jfranklin.2022.05.042
    [2]
    M. Cui, L. Geng, and Z. Wu, “Random modeling and control of nonlinear active suspension,” Mathematical Problems in Engineering, vol. 2017, pp. 1–8, 2017.
    [3]
    R. Xi, H. Zhang, Q. Liang, and X. Liu, “Command Filtered Adaptive Tracking Control for a Class of Random Nonlinear Systems,” IEEE Trans. Circuits and Systems II: Express Briefs, vol. 70, pp. 2087–2091, 2023.
    [4]
    H. Jian, S. Zheng, P. Shi, Y. Xie, and H. Li, “Consensus for Multiple Random Mechanical Systems With Applications on Robot Manipulator,” IEEE Trans. Industrial Electronics, vol. 71, pp. 846–856, 2023.
    [5]
    Z. Wu, “Stability Criteria of Random Nonlinear Systems and Their Applications,” IEEE Trans. Automatic Control, vol. 60, no. 4, pp. 1038–1049, 2015. doi: 10.1109/TAC.2014.2365684
    [6]
    Z. Wu, H. Karimi, and P. Shi, “Practical trajectory tracking of random Lagrange systems,” Automatica, vol. 105, pp. 314–322, 2019. doi: 10.1016/j.automatica.2019.04.006
    [7]
    T. Jiao, W. Zheng, and S. Xu, “Unified Stability Criteria of Random Nonlinear Time-Varying Impulsive Switched Systems,” IEEE Trans. Circuits and Systems I: Regular Papers, vol. 67, no. 9, pp. 3099–3112, 2020. doi: 10.1109/TCSI.2020.2983324
    [8]
    R. Wang, H. Wang, W. Li, and B. Niu, “Output Tracking Control of Random Nonlinear Time-Varying Systems,” Mathematics, 2022.
    [9]
    L. Yao and L. Feng, “Noise-to-state finite-time practical stability for random nonlinear systems and its application in random Lagrange systems,” Nonlinear Dynamics, vol. 111, no. 9, pp. 8103–8113, 2023. doi: 10.1007/s11071-023-08261-9
    [10]
    H. Li, C. Hua, K. Li and Q. Li, “Finite-Time Control of High-Order Nonlinear Random Systems Using State Triggering Signals,” IEEE Trans. Circuits and Systems I: Regular Papers, vol. 70, no. 6, pp. 2587–2598, 2023. doi: 10.1109/TCSI.2023.3257868
    [11]
    V. Andrieu, L. Praly, and A. Astolfi, “Homogeneous approximation, recursive observer design, and output feedback,” SIAM Journal on Control and Optimization, vol. 47, no. 4, pp. 1814–1850, 2008. doi: 10.1137/060675861
    [12]
    A. Polyakov, “Nonlinear feedback design for fixed-time stabilization of linear control systems,” IEEE Trans. Automatic Control, vol. 57, no. 8, pp. 2106–2110, 2012. doi: 10.1109/TAC.2011.2179869
    [13]
    Q. Meng, Q. Ma, and Y. Shi, “Adaptive Fixed-Time Stabilization for a Class of Uncertain Nonlinear Systems,” IEEE Trans. Automatic Control, vol. 68, no. 11, pp. 6929–6936, Nov. 2023. doi: 10.1109/TAC.2023.3244151
    [14]
    B. Zhang, X. Sun, M. Lv, S. Liu, and L. Li, “Distributed Adaptive Fixed-Time Fault-Tolerant Control for Multiple 6-DOF UAVs With Full-State Constraints Guarantee,” IEEE Systems Journal, vol. 16, no. 3, pp. 4792–4803, 2022. doi: 10.1109/JSYST.2021.3128973
    [15]
    H. Min, S. Shi, S. Xu, J. Guo, and Z. Zhang, “Fixed-Time Lyapunov Criteria of Stochastic Nonlinear Systems and Its Generalization,” IEEE Trans. Automatic Control, vol. 68, no. 8, pp. 5052–5058, Aug. 2023. doi: 10.1109/TAC.2022.3218592
    [16]
    H. Min, S. Xu, B. Zhang, Q. Ma, and D. Yuan, “Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems,” IEEE/CAA Journal Automatic. Sinica, vol. 9, no. 6, pp. 1005–1014, Jun. 2022. doi: 10.1109/JAS.2022.105539
    [17]
    Y. Yang, G. Liu, Q. Li, and C. K. Ahn, “Multiple adaptive fuzzy Nussbaum-type functions design for stochastic nonlinear systems with fixed-time performance,” Fuzzy Sets and Systems, vol. 476, Jan. 2024.
    [18]
    L. Ren, J. Wu, and J. Liu, “Dynamic Event-Triggered Adaptive Fixed-Time Fuzzy Tracking Control for Stochastic Nonlinear Systems Under Asymmetric Time-Varying State Constraints,” Int. Journal of Fuzzy Systems, Aug. 2023.
    [19]
    J. Yin, D. Ding, Z. Liu, and S. Khoo, “Some properties of finite-time stable stochastic nonlinear systems,” Applied Mathematics and Computation, vol. 259, pp. 686–697, 2015. doi: 10.1016/j.amc.2015.02.088

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(2)

    Article Metrics

    Article views (22) PDF downloads(5) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return