Detail publikace
On stability of delayed differential systems of arbitrary non-integer order
KISELA, T.
Anglický název
On stability of delayed differential systems of arbitrary non-integer order
Typ
článek v časopise ve Scopus, Jsc
Jazyk
en
Originální abstrakt
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.
Anglický abstrakt
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.
Klíčová slova anglicky
fractional delay differential system; stability; asymptotic behavior; Riemann-Liouville derivative; Caputo derivative
Vydáno
30.06.2020
ISSN
1805-3610
Ročník
9
Číslo
1
Strany od–do
31–42
Počet stran
12
BIBTEX
@article{BUT169633,
author="Tomáš {Kisela},
title="On stability of delayed differential systems of arbitrary non-integer order",
year="2020",
volume="9",
number="1",
month="June",
pages="31--42",
issn="1805-3610"
}