Mikhailov stability criterion for fractional commensurate order systems with delays

被引：3
|
作者：
Melchor-Aguilar, Daniel [1 ]
Mendiola-Fuentes, Jessica [1 ]
机构：
[1] IPICYT, Div Control & Dynam Syst, San Luis Potosi 78216, Mexico
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 15期
关键词：
D O I：
10.1016/j.jfranklin.2022.08.016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present the extension of the Mikhailov stability criterion to linear fractional com-mensurate order systems with delays of the retarded type. The extension is obtained by generalizing the Mikhailov stability criterion of fractional commensurate order and integer order delay systems. The validity of the results is illustrated by means of several examples.(c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：8395 / 8408
页数：14
相关论文
共 50 条
  • [1] Modification of Mikhailov stability criterion for fractional commensurate order systems
    Mendiola-Fuentes, Jessica
    Melchor-Aguilar, Daniel
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (05): : 2779 - 2790
  • [2] Modified Mikhailov stability criterion for non-commensurate fractional-order neutral differential systems with delays
    Thai, Ha Duc
    Tuan, Hoang The
    JOURNAL OF THE FRANKLIN INSTITUTE, 2025, 362 (01)
  • [3] ON STABILITY OF COMMENSURATE FRACTIONAL ORDER SYSTEMS
    Sabatier, Jocelyn
    Farges, Christophe
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (04):
  • [4] Modified Mikhailov stability criterion for continuous-time noncommensurate fractional-order systems
    Stanislawski, Rafal
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (04): : 1677 - 1688
  • [5] A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems
    Stanislawski, Rafal
    Latawiec, Krzysztof J.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 96
  • [6] On the robust stability of commensurate fractional-order systems
    Casagrande, Daniele
    Krajewski, Wieslaw
    Viaro, Umberto
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (11): : 5559 - 5574
  • [7] Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems
    Wang, Sheng-Guo
    Liang, Shu
    Ma, Liang
    Peng, Kaixiang
    CONTROL THEORY AND TECHNOLOGY, 2019, 17 (03) : 297 - 306
  • [8] Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems
    Sheng-Guo Wang
    Shu Liang
    Liang Ma
    Kaixiang Peng
    Control Theory and Technology, 2019, 17 : 297 - 306
  • [9] A graphic stability criterion for non-commensurate fractional-order time-delay systems
    Gao, Zhe
    NONLINEAR DYNAMICS, 2014, 78 (03) : 2101 - 2111
  • [10] A graphic stability criterion for non-commensurate fractional-order time-delay systems
    Zhe Gao
    Nonlinear Dynamics, 2014, 78 : 2101 - 2111
12345