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

被引：22
|
作者：
Ben Makhlouf, Abdellatif [1 ]
机构：
[1] Jouf Univ, Dept Math, Coll Sci, POB 2014, Sakaka, Saudi Arabia
来源：
ASIAN JOURNAL OF CONTROL | 2022年 / 24卷 / 06期
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
  • [21] Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems
    Nguyen, Thi Thu Huong
    Nguyen, Nhu Thang
    Tran, Minh Nguyet
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 525 (01)
  • [22] A QUALITATIVE THEORY OF TIME DELAY NONLINEAR FRACTIONAL-ORDER SYSTEMS
    Tuan, H. T.
    Trinh, H.
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (03) : 1491 - 1518
  • [23] Finite-time stability of fractional-order stochastic singular systems with time delay and white noise
    Mathiyalagan, Kalidass
    Balachandran, Krishnan
    COMPLEXITY, 2016, 21 (S2) : 370 - 379
  • [24] Finite-Time Stability of Linear Caputo-Katugampola Fractional-Order Time Delay Systems
    Ben Makhlouf, Abdellatif
    Nagy, A. M.
    ASIAN JOURNAL OF CONTROL, 2020, 22 (01) : 297 - 306
  • [25] Finite Time Stability Analysis and Feedback Control for Takagi-Sugeno Fuzzy Time Delay Fractional-Order Systems
    Gassara, Hamdi
    Tlija, Mehdi
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    SYMMETRY-BASEL, 2024, 16 (10):
  • [26] New finite-time stability for fractional-order time-varying time-delay linear systems: A Lyapunov approach
    Gokul, P.
    Rakkiyappan, R.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (14): : 7620 - 7631
  • [27] Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay
    Li, Penghua
    Chen, Liping
    Wu, Ranchao
    Tenreiro Machado, J. A.
    Lopes, Antonio M.
    Yuan, Liguo
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (15): : 7749 - 7763
  • [28] Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
    Lazarevic, Mihailo P.
    Spasic, Aleksandar M.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 475 - 481
  • [29] Finite Time Stability Analysis for Nonlinear Fractional Order Differential Systems
    Zhao Yige
    Wang Yuzhen
    Liu Zhenbin
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 487 - 492
  • [30] Finite-Time Stability of Fractional-Order Neural Networks with Delay
    吴然超
    黑鑫东
    陈立平
    Communications in Theoretical Physics, 2013, 60 (08) : 189 - 193
12345