Stabilization and destabilization of fractional oscillators via a delayed feedback control
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU146560" target="_blank" >RIV/00216305:26210/23:PU146560 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1007570422004476?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1007570422004476?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cnsns.2022.106960" target="_blank" >10.1016/j.cnsns.2022.106960</a>
Alternative languages
Result language
angličtina
Original language name
Stabilization and destabilization of fractional oscillators via a delayed feedback control
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Nonlinear Science and Numerical Simulation
ISSN
1007-5704
e-ISSN
1878-7274
Volume of the periodical
117
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
1-16
UT code for WoS article
000992204200001
EID of the result in the Scopus database
2-s2.0-85141276661