Partial practical stability for fractional-order nonlinear systems

被引：23
|
作者：
Ben Makhlouf, Abdellatif [1 ]
机构：
[1] Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 09期
关键词：
fractional differential equations; Lyapunov function; stability; STABILIZATION; VARIABLES; RESPECT;
D O I：
10.1002/mma.8097
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, stability analysis which ensures the convergence of a part of the solutions towards a ball of a class of fractional-order nonlinear systems is described. Using the Lyapunov-like functions, such nonlinear systems depending on a small parameter is studied, and such practical stability is ensured. Numerical examples are given to illustrate the validity of the proposed theoretical results as well as a real application to a class of cobweb models.
引用
收藏
页码：5135 / 5148
页数：14
相关论文
共 50 条
  • [31] Adaptive Fractional-order Unscented Kalman Filters for Nonlinear Fractional-order Systems
    Miao, Yue
    Gao, Zhe
    Yang, Chuang
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2022, 20 (04) : 1283 - 1293
  • [32] Fractional-Order Adaptive Fault Estimation for a Class of Nonlinear Fractional-Order Systems
    N'Doye, Ibrahima
    Laleg-Kirati, Taous-Meriem
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 3804 - 3809
  • [33] Comments on "Stability analysis of Caputo fractional-order nonlinear systems revisited"
    Wu, Cong
    NONLINEAR DYNAMICS, 2021, 104 (01) : 551 - 555
  • [34] A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems
    Abdolrahman Ramezani
    Behrouz Safarinejadian
    Circuits, Systems, and Signal Processing, 2018, 37 : 3756 - 3784
  • [35] Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems
    Munoz-Vazquez, Aldo Jonathan
    Parra-Vega, Vicente
    Sanchez-Orta, Anand
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (07):
  • [36] Stability analysis of random fractional-order nonlinear systems and its application
    Jiao, Ticao
    Zong, Guangdeng
    Zhu, Quanxin
    Wang, Lei
    Sun, Haibin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 140
  • [37] Stability and Stabilization of a Class of Nonlinear Fractional-Order Systems With Caputo Derivative
    Chen, Liping
    Chai, Yi
    Wu, Ranchao
    Yang, Jing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2012, 59 (09) : 602 - 606
  • [38] New results on stability and stabilization of a class of nonlinear fractional-order systems
    Chen, Liping
    He, Yigang
    Chai, Yi
    Wu, Ranchao
    NONLINEAR DYNAMICS, 2014, 75 (04) : 633 - 641
  • [39] New results on stability and stabilization of a class of nonlinear fractional-order systems
    Liping Chen
    Yigang He
    Yi Chai
    Ranchao Wu
    Nonlinear Dynamics, 2014, 75 : 633 - 641
  • [40] Stability analysis for nonlinear fractional-order systems based on comparison principle
    Zhiliang Wang
    Dongsheng Yang
    Tiedong Ma
    Ning Sun
    Nonlinear Dynamics, 2014, 75 : 387 - 402
12345