A novel finite time stability analysis of nonlinear fractional-order time delay systems: A fixed point approach

被引:10
|
作者
Ben Makhlouf, Abdellatif [1 ]
机构
[1] Jouf Univ, Dept Math, Coll Sci, POB 2014, Sakaka, Saudi Arabia
关键词
delay; finite time stability; fixed point theory; nonlinear systems; SENSOR FAULT ESTIMATION; DIFFERENTIAL-EQUATIONS; STABILIZATION; THEOREM;
D O I
10.1002/asjc.2756
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Finite time stability (FTS) of fractional-order time delayed systems (FOTDSs) has been studied by many researchers based on the Lyapunov functions and Gronwall inequalities. In this paper, we proposed a novel FTS scheme for FOTDSs based on the fixed point theory. By exploiting the fixed point approach, sufficient conditions that guarantee the robust FTS of FOTDSs have been established. Finally, two illustrative examples are presented to validate the main result.
引用
收藏
页码:3580 / 3587
页数:8
相关论文
共 50 条
  • [31] Robust finite time stability of fractional-order linear delayed systems with nonlinear perturbations
    Liping Chen
    Yigang He
    Ranchao Wu
    Yi Chai
    Lisheng Yin
    International Journal of Control, Automation and Systems, 2014, 12 : 697 - 702
  • [32] New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems
    Chen, Liping
    Pan, Wei
    Wu, Ranchao
    He, Yigang
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2015, 10 (06):
  • [33] Stability and Hopf bifurcation analysis of fractional-order nonlinear financial system with time delay
    Panigrahi, Santoshi
    Chand, Sunita
    Balamuralitharan, Sundarappan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (18) : 14393 - 14403
  • [34] A novel general stability criterion of time-delay fractional-order nonlinear systems based on WILL Deduction Method
    Zhang, Zhe
    Zhang, Jing
    Ai, Zhaoyang
    Cheng, FanYong
    Liu, Feng
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 178 : 328 - 344
  • [35] Stability Analysis of Fractional-Order Neural Networks with Time Delay
    Wang, Hu
    Yu, Yongguang
    Wen, Guoguang
    Zhang, Shuo
    NEURAL PROCESSING LETTERS, 2015, 42 (02) : 479 - 500
  • [36] Stability Analysis of Fractional-Order Neural Networks with Time Delay
    Hu Wang
    Yongguang Yu
    Guoguang Wen
    Shuo Zhang
    Neural Processing Letters, 2015, 42 : 479 - 500
  • [37] Robust Stability Analysis of Nonlinear Fractional-Order Time-Variant Systems
    Chen Caixue
    Xie Yunxiang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [38] Stability analysis of nonlinear fractional-order systems with variable-time impulses
    Song, Qiankun
    Yang, Xujun
    Li, Chuandong
    Huang, Tingwen
    Chen, Xiaofeng
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (07): : 2959 - 2978
  • [39] Switching law design for finite-time stability of singular fractional-order systems with delay
    Thanh, Nguyen T.
    Vu Ngoc Phat
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (09): : 1367 - 1373
  • [40] A new fixed-time stability criterion for fractional-order systems
    Ding, Yucai
    Liu, Hui
    AIMS MATHEMATICS, 2022, 7 (04): : 6173 - 6181