On the Stability of Incommensurate h-Nabla Fractional-Order Difference Systems

被引：5
|
作者：
Djenina, Noureddine [1 ]
Ouannas, Adel [1 ,2 ]
Oussaeif, Taki-Eddine [1 ]
Grassi, Giuseppe [3 ]
Batiha, Iqbal M. [2 ,4 ]
Momani, Shaher [2 ,5 ]
Albadarneh, Ramzi B. [6 ]
机构：
[1] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi 04000, Algeria
[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 20550, U Arab Emirates
[3] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy
[4] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 2600, Jordan
[5] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
[6] Hashemite Univ, Fac Sci, Dept Math, POB 330127, Zarqa 13133, Jordan
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 03期
关键词：
the h-nabla fractional-order sum operator; incommensurate fractional-order difference systems; Z-transform method; stability analysis; (Q;
D O I：
10.3390/fractalfract6030158
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work aims to present a study on the stability analysis of linear and nonlinear incommensurate h-nabla fractional-order difference systems. Several theoretical results are inferred with the help of using some theoretical schemes, such as the Z-transform method, Cauchy-Hadamard theorem, Taylor development approach, final-value theorem and Banach fixed point theorem. These results are verified numerically via two illustrative numerical examples that show the stabilities of the solutions of systems at hand.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] On the Stability of Linear Incommensurate Fractional-Order Difference Systems
    Djenina, Noureddine
    Ouannas, Adel
    Batiha, Iqbal M.
    Grassi, Giuseppe
    Pham, Viet-Thanh
    MATHEMATICS, 2020, 8 (10) : 1 - 12
  • [2] Lyapunov Stability Analysis for Incommensurate Nabla Fractional Order Systems
    Yiheng Wei
    Xuan Zhao
    Yingdong Wei
    Yangquan Chen
    Journal of Systems Science and Complexity, 2023, 36 : 555 - 576
  • [3] Lyapunov Stability Analysis for Incommensurate Nabla Fractional Order Systems
    Wei, Yiheng
    Zhao, Xuan
    Wei, Yingdong
    Chen, Yangquan
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (02) : 555 - 576
  • [4] Lyapunov Stability Analysis for Incommensurate Nabla Fractional Order Systems
    WEI Yiheng
    ZHAO Xuan
    WEI Yingdong
    CHEN Yangquan
    JournalofSystemsScience&Complexity, 2023, 36 (02) : 555 - 576
  • [5] On robust stability of incommensurate fractional-order systems
    Tavazoei, Mohammad
    Asemani, Mohammad Hassan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 90
  • [6] Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
    Shatnawi, Mohd Taib
    Djenina, Noureddine
    Ouannas, Adel
    Batiha, Iqbal M.
    Grassi, Giuseppe
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (02) : 1655 - 1663
  • [7] Fractional difference inequalities with their implications to the stability analysis of nabla fractional order systems
    Yiheng Wei
    Nonlinear Dynamics, 2021, 104 : 3643 - 3654
  • [8] Mittag–Leffler stability of nabla discrete fractional-order dynamic systems
    Yingdong Wei
    Yiheng Wei
    Yuquan Chen
    Yong Wang
    Nonlinear Dynamics, 2020, 101 : 407 - 417
  • [9] Fractional difference inequalities with their implications to the stability analysis of nabla fractional order systems
    Wei, Yiheng
    NONLINEAR DYNAMICS, 2021, 104 (04) : 3643 - 3654
  • [10] Stability of equilibrium points for incommensurate fractional-order nonlinear systems
    Ji Yude
    Lu Jiyong
    Qiu Liqing
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 10453 - 10458
12345