On stability of delayed differential systems of arbitrary non-integer order

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F20%3APU139591" target="_blank" >RIV/00216305:26210/20:PU139591 - isvavai.cz</a>
Result on the web
<a href="http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_kisela_final.pdf" target="_blank" >http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_kisela_final.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.13164/ma.2020.03" target="_blank" >10.13164/ma.2020.03</a>

Result language
angličtina
Original language name
On stability of delayed differential systems of arbitrary non-integer order
Original language description
This paper summarizes and extends known results on qualitative behavior of solutions of autonomous fractional differential systems with a time delay. It utilizes two most common definitions of fractional derivative, Riemann–Liouville and Caputo one, for which optimal stability conditions are formulated via position of eigenvalues in the complex plane. Our approach covers differential systems of any non-integer orders of the derivative. The differences in stability and asymptotic properties of solutions induced by the type of derivative are pointed out as well.
Czech name
—
Czech description
—

Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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