Explicit solutions and finite-time stability for fractional delay systems

被引：0
|
作者：
Elshenhab, Ahmed M. [1 ]
Wang, Xing Tao [2 ]
Hosny, Mohamed [3 ,4 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[3] Benha Univ, Benha Fac Engn, Dept Elect Engn, Banha 13511, Egypt
[4] King Fahd Univ Petr & Minerals, KFUPM Business Sch, IRC Finance & Digital Econ, Dhahran 31261, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2025年 / 498卷
关键词：
Explicit solutions; Finite-time stability; Fractional delay systems; Fractional delayed matrix Mittag-Leffler function; NEUTRAL SYSTEMS; REPRESENTATION; STABILIZATION; MODEL;
D O I：
10.1016/j.amc.2025.129388
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finite-time stability and explicit solutions are considered for nonhomogeneous fractional systems with pure delay. First, explicit solutions are obtained by using new delayed Mittag-Leffler-type matrix functions. Second, the finite-time stability results are obtained by utilizing these explicit solutions and the norm estimate of these delayed Mittag-Leffler-type matrix functions. The results improve, extend, and complement the previous works. Finally, an example is provided to illustrate the importance of the results.
引用
收藏
页数：15
相关论文
共 50 条
  • [31] Finite-time stability analysis of fractional-order neural networks with delay
    Yang, Xujun
    Song, Qiankun
    Liu, Yurong
    Zhao, Zhenjiang
    NEUROCOMPUTING, 2015, 152 : 19 - 26
  • [32] Finite-Time Stability in Nonhomogeneous Delay Differential Equations of Fractional Hilfer Type
    Salem, Ahmed
    Babusail, Rawia
    MATHEMATICS, 2022, 10 (09)
  • [33] 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)
  • [34] Finite-time stability and stabilization of time-delay systems
    Moulay, Emmanuel
    Dambrine, Michel
    Yeganefar, Nima
    Perruquetti, Wilfrid
    SYSTEMS & CONTROL LETTERS, 2008, 57 (07) : 561 - 566
  • [35] Improved Approach for Finite-Time Stability of Nonlinear Fractional-Order Systems With Interval Time-Varying Delay
    Thanh, Nguyen T.
    Phat, Vu N.
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2019, 66 (08) : 1356 - 1360
  • [36] New Criteria for Finite-Time Stability of Linear Time-Delay Systems
    Huang, Tiantian
    Sun, Yuangong
    2019 19TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2019), 2019, : 1137 - 1140
  • [37] On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms
    Priya, Bandana
    Thakur, Ganesh Kumar
    Ali, M. Syed
    Stamov, Gani
    Stamova, Ivanka
    Sharma, Pawan Kumar
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [38] The finite-time stability of nonlinear impulsive delay systems
    Cai, Yingying
    Gao, Lijun
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2279 - 2284
  • [39] New criteria on finite-time stability of nonautonomous systems with delay and disturbance
    Li, Ya-Nan
    Sun, Yuan-Gong
    2015 15TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2015, : 1092 - 1095
  • [40] FINITE-TIME STABILITY OF DISCRETE-TIME SYSTEMS WITH TIME-VARYING DELAY
    Stojanovic, Sreten B.
    Debeljkovic, Dragutin L. J.
    Dimitrijevic, Nebojsa
    CHEMICAL INDUSTRY & CHEMICAL ENGINEERING QUARTERLY, 2012, 18 (04) : 525 - 533
12345