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

被引：6

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

页码：1677 / 1688

页数：12

共 50 条

[31] Kalman Filters for Continuous-time Fractional-order Systems Involving Fractional-order Colored Noises Using Tustin Generating Function
Zhe Gao
[J]. International Journal of Control, Automation and Systems, 2018, 16 : 1049 - 1059
[32] Kalman filters for linear continuous-time fractional-order systems involving coloured noises using fractional-order average derivative
Yang, Chao
Gao, Zhe
Liu, Fanghui
[J]. IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (04): : 456 - 465
[33] Reduced order Kalman filter for a continuous-time fractional-order system using fractional-order average derivative
Gao, Zhe
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 338 : 72 - 86
[34] Continuous-time model identification of fractional-order models with time delays
Narang, A.
Shah, S. L.
Chen, T.
[J]. IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (07): : 900 - 912
[35] A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems
Mates, Carlos
Ortigueira, Manuel Duarte
[J]. TECHNOLOGICAL INNOVATION FOR VALUE CREATION, 2012, 372 : 251 - +
[36] Stabilization of Positive 2D Fractional-Order Continuous-Time Systems with Delays
Dami, Laila
Benhayoun, Mohamed
Benzaouia, Abdellah
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2019, 38 (05) : 1962 - 1981
[37] An unscented Kalman filter for continuous-time nonlinear fractional-order systems with correlated noises
Chen, Xiaojiao
Gao, Zhe
Liu, Fanghui
Huang, Xiaomin
[J]. PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 2054 - 2060
[38] Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems
Si, Xindong
Yang, Hongli
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (7-8) : 827 - 842
[39] Constrained State Regulation Problem of Descriptor Fractional-Order Linear Continuous-Time Systems
Yang, Hongli
Si, Xindong
Ivanov, Ivan G.
[J]. FRACTAL AND FRACTIONAL, 2024, 8 (05)
[40] Stabilization of Positive 2D Fractional-Order Continuous-Time Systems with Delays
Laila Dami
Mohamed Benhayoun
Abdellah Benzaouia
[J]. Circuits, Systems, and Signal Processing, 2019, 38 : 1962 - 1981

← 1 2 3 4 5 →