External stability of Caputo fractional-order nonlinear control systems: advances in the Lyapunov function method

被引：0
|
作者：
Cong Wu
机构：
[1] Sichuan University,Institutes for Systems Genetics,West China Hospital
来源：
Nonlinear Dynamics | 2021年 / 104卷
关键词：
Advance; Lyapunov function method; External stability; Caputo fractional-order nonlinear control system; Continuous differentiability; Reduction in conditions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we present an important advance in the Lyapunov function method for the external stability of Caputo fractional-order nonlinear control systems. Benefiting from the very recent development of fractional calculus, the continuous differentiability imposed on inputs and vector field functions as required by the existing Lyapunov function method is successfully removed. This reduction in conditions improves the existing results to a large extent.
引用
收藏
页码：429 / 438
页数：9
相关论文
共 50 条
  • [21] LINEARIZED STABILITY ANALYSIS OF CAPUTO-KATUGAMPOLA FRACTIONAL-ORDER NONLINEAR SYSTEMS
    Boucenna, D.
    Ben Makhlouf, A.
    Naifar, O.
    Guezane-Lakoud, A.
    Hammami, M. A.
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018,
  • [22] ON OBSERVER DESIGN FOR NONLINEAR CAPUTO FRACTIONAL-ORDER SYSTEMS
    Jmal, Assaad
    Naifar, Omar
    Ben Makhlouf, Abdellatif
    Derbel, Nabil
    Hammami, Mohamed Ali
    ASIAN JOURNAL OF CONTROL, 2018, 20 (04) : 1533 - 1540
  • [23] Practical Stability of Observer-Based Control for Nonlinear Caputo-Hadamard Fractional-Order Systems
    Issaoui, Rihab
    Naifar, Omar
    Tlija, Mehdi
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    FRACTAL AND FRACTIONAL, 2024, 8 (09)
  • [24] Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
    Li, Yan
    Chen, YangQuan
    Podlubny, Igor
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (05) : 1810 - 1821
  • [25] ADVANCES in ANALYSIS of CAPUTO FRACTIONAL-ORDER NONAUTONOMOUS SYSTEMS: From STABILITY to GLOBAL UNIFORM ASYMPTOTIC STABILITY
    Wu, Cong
    Fractals, 2021, 29 (04):
  • [26] ADVANCES IN ANALYSIS OF CAPUTO FRACTIONAL-ORDER NONAUTONOMOUS SYSTEMS: FROM STABILITY TO GLOBAL UNIFORM ASYMPTOTIC STABILITY
    Wu, Cong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (04)
  • [27] Stability of Systems of Fractional-Order Differential Equations with Caputo Derivatives
    Brandibur, Oana
    Garrappa, Roberto
    Kaslik, Eva
    MATHEMATICS, 2021, 9 (08)
  • [28] A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional-Order T-S Fuzzy Systems
    Fan, Xiaofei
    Wang, Zhanshan
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (07) : 2769 - 2776
  • [29] Lyapunov’s first and second instability theorems for Caputo fractional-order systems
    Cong Wu
    Nonlinear Dynamics, 2022, 109 : 1923 - 1928
  • [30] Lyapunov's first and second instability theorems for Caputo fractional-order systems
    Wu, Cong
    NONLINEAR DYNAMICS, 2022, 109 (03) : 1923 - 1928
12345