Stability analysis on a class of nonlinear fractional-order systems

被引：40
|
作者：
Wang, Zhiliang [1 ]
Yang, Dongsheng [1 ]
Zhang, Huaguang [1 ]
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 86卷 / 02期
关键词：
Fractional-order; Incommensurate; Comparison inequality; Linearization; Stability; Stabilization; LYAPUNOV FUNCTIONS; PERIODIC-SOLUTIONS; DYNAMICAL-SYSTEMS; NONEXISTENCE; THEOREM;
D O I：
10.1007/s11071-016-2943-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems.
引用
收藏
页码：1023 / 1033
页数：11
相关论文
共 50 条
  • [41] CHATTERING-FREE FINITE-TIME STABILITY OF A CLASS OF FRACTIONAL-ORDER NONLINEAR SYSTEMS
    Wang, Bin
    Chen, Yangquan
    Yang, Ying
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2019, VOL 9, 2019,
  • [42] Fractional-Order Sliding Mode Control Method for a Class of Integer-Order Nonlinear Systems
    Qing, Wenjie
    Pan, Binfeng
    Hou, Yueyang
    Lu, Shan
    Zhang, Wenjing
    AEROSPACE, 2022, 9 (10)
  • [43] Stability Concepts of Riemann-Liouville Fractional-Order Delay Nonlinear Systems
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    MATHEMATICS, 2021, 9 (04) : 1 - 16
  • [44] On robust stability of incommensurate fractional-order systems
    Tavazoei, Mohammad
    Asemani, Mohammad Hassan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 90
  • [45] Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems
    Liu, Heng
    Pan, Yongping
    Li, Shenggang
    Chen, Ye
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2017, 47 (08): : 2209 - 2217
  • [46] DMVT-based observer design for general affine class of fractional-order nonlinear MIMO systems
    Firouzabadi, Hamid Dehghani
    Kalat, Ali Akbarzadeh
    JOURNAL OF VIBRATION AND CONTROL, 2024, 30 (1-2) : 205 - 219
  • [47] Stability analysis of delayed fractional-order switched systems
    Yang, Ran
    Liu, Song
    Li, Xiaoyan
    Huang, Tao
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2023, 45 (03) : 502 - 511
  • [48] Observer design for a class of nonlinear fractional-order systems with unknown input
    Kong, Shulan
    Saif, Mehrdad
    Liu, Bing
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (13): : 5503 - 5518
  • [49] Stability Analysis of Time-Delayed Linear Fractional-Order Systems
    Pakzad, Mohammad Ali
    Pakzad, Sara
    Nekoui, Mohammad Ali
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2013, 11 (03) : 519 - 525
  • [50] Performance analysis and control of fractional-order positive systems
    Wang, Cuihong
    Zhao, Yafei
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (07) : 928 - 934
12345