Modified Mikhailov stability criterion for continuous-time noncommensurate fractional-order systems

被引：7
作者：
Stanislawski, Rafal [1 ]
机构：
[1] Opole Univ Technol, Dept Elect Control & Comp Engn, Ul Proszkowska 76, PL-45758 Opole, Poland
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 04期
关键词：
ASYMPTOTIC STABILITY; STABILIZATION;
D O I：
10.1016/j.jfranklin.2022.01.022
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents the modified Mikhailov stability criterion, which can be effectively used in stability analysis for continuous-time noncommensurate fractional-order systems. The main advantage of the proposed methodology is that the stability analysis of noncommensurate fractional-order systems leads to the same computational complexity as for the commensurate order ones. Simulation examples confirm the usefulness of the introduced methodology. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1677 / 1688
页数：12
相关论文
共 25 条
  • [1] Buslowicz M, 2008, B POL ACAD SCI-TECH, V56, P319
  • [2] Cremer L, 1947, ZAMM, V25, P161
  • [3] Numerical Stability Analysis of Linear Incommensurate Fractional Order Systems
    Das, Sambit
    Chatterjee, Anindya
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2013, 8 (04):
  • [4] New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties
    Dinh, Cong Huong
    Mai, Viet Thuan
    Duong, Thi Hong
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 33 (03) : 563 - 583
  • [5] On initial conditions for fractional delay differential equations
    Garrappa, Roberto
    Kaslik, Eva
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 90
  • [6] Fractional comparison method and asymptotic stability results for multivariable fractional order systems
    Lenka, Bichitra Kumar
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 69 : 398 - 415
  • [7] Leonhard A, 1944, ARCH ELEKTROTECH, V38, P17
  • [8] 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
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (15): : 7749 - 7763
  • [9] Finite energy Lyapunov function candidate for fractional order general nonlinear systems
    Li, Yan
    Zhao, Daduan
    Chen, YangQuan
    Podlubny, Igor
    Zhang, Chenghui
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
  • [10] Robust stability and stabilization of multi-order fractional-order systems with interval uncertainties: An LMI approach
    Lu, Jun-Guo
    Zhu, Zhen
    Ma, Ying-Dong
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (09) : 4081 - 4099
123