Detail publikačního výsledku

Stabilization and destabilization of fractional oscillators via a delayed feedback control

KISELA, T.; ČERMÁK, J.

Originální název

Stabilization and destabilization of fractional oscillators via a delayed feedback control

Anglický název

Stabilization and destabilization of fractional oscillators via a delayed feedback control

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

KISELA, T.; ČERMÁK, J.

Rok RIV

2024

Vydáno

01.02.2023

Nakladatel

Elsevier

Místo

RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS

ISSN

1007-5704

Periodikum

Communications in Nonlinear Science and Numerical Simulation

Svazek

117

Číslo

1

Stát

Nizozemsko

Strany od

1

Strany do

16

Strany počet

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="1--16",
  doi="10.1016/j.cnsns.2022.106960",
  issn="1007-5704",
  url="https://www.sciencedirect.com/science/article/pii/S1007570422004476?via%3Dihub"
}

Dokumenty

CermakKisela-CNCNS2023
Zdůvodnění