Modification of Mikhailov stability criterion for fractional commensurate order systems

被引：9
|
作者：
Mendiola-Fuentes, Jessica [1 ]
Melchor-Aguilar, Daniel [1 ]
机构：
[1] IPICYT, Div Matemat Aplicadas, San Luis Potosi 78216, Slp, Mexico
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 05期
关键词：
D O I：
10.1016/j.jfranklin.2018.01.012
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 modification of the Mikhailov stability criterion for linear fractional commensurate order systems. The modification consists in determining the appropriate measure for the total argument change depending on the highest fractional order alpha(n) = n alpha of the system and not only on the integer n as stated in the literature. The validity of the result is illustrated by means of several examples. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2779 / 2790
页数：12
相关论文
共 50 条
  • [1] Mikhailov stability criterion for fractional commensurate order systems with delays
    Melchor-Aguilar, Daniel
    Mendiola-Fuentes, Jessica
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (15): : 8395 - 8408
  • [2] ON STABILITY OF COMMENSURATE FRACTIONAL ORDER SYSTEMS
    Sabatier, Jocelyn
    Farges, Christophe
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (04):
  • [3] 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
  • [4] 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
  • [5] 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
  • [6] 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
  • [7] 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
  • [8] A graphic stability criterion for non-commensurate fractional-order time-delay systems
    Gao, Zhe
    NONLINEAR DYNAMICS, 2014, 78 (03) : 2101 - 2111
  • [9] A graphic stability criterion for non-commensurate fractional-order time-delay systems
    Zhe Gao
    Nonlinear Dynamics, 2014, 78 : 2101 - 2111
  • [10] A stability test for non-commensurate fractional order systems
    Sabatier, Jocelyn
    Farges, Christophe
    Trigeassou, Jean-Claude
    SYSTEMS & CONTROL LETTERS, 2013, 62 (09) : 739 - 746
12345