Publication detail

Stabilization and destabilization of fractional oscillators via a delayed feedback control

KISELA, T. ČERMÁK, J.

Original Title

Stabilization and destabilization of fractional oscillators via a delayed feedback control

Type

journal article in Web of Science

Language

English

Original Abstract

This paper discusses the problem of stabilization and destabilization of fractional oscillators by use of a delayed feedback control. A mathematical part of the problem consists in stability analysis of appropriate fractional delay differential equations with the derivative order varying between 1 and 2. Derived stability criteria are efficient and easy to apply when stabilizing or destabilizing fractional oscillators in the standard as well as inverted form. As a by-product of our results, we explicitly describe critical values of a delay control parameter when stability property turns into instability and vice versa. Evaluations of these stability switches are possible also in the limit harmonic case which brings new insights into classical stability results on this topic.

Keywords

Fractional oscillator;Fractional delay differential equation;Feedback control;Stabilization and destabilization

Authors

KISELA, T.; ČERMÁK, J.

Released

1. 2. 2023

Publisher

Elsevier

Location

RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS

ISBN

1007-5704

Periodical

Communications in Nonlinear Science and Numerical Simulation

Year of study

117

Number

1

State

Kingdom of the Netherlands

Pages from

1

Pages to

16

Pages count

16

URL

https://www.sciencedirect.com/science/article/pii/S1007570422004476?via%3Dihub

BibTex

@article{BUT180414,
  author="Tomáš {Kisela} and Jan {Čermák}",
  title="Stabilization and destabilization of fractional oscillators via a delayed feedback control",
  journal="Communications in Nonlinear Science and Numerical Simulation",
  year="2023",
  volume="117",
  number="1",
  pages="16",
  doi="10.1016/j.cnsns.2022.106960",
  issn="1007-5704",
  url="https://www.sciencedirect.com/science/article/pii/S1007570422004476?via%3Dihub"
}