Detail publikace
Delay-dependent stability switches in fractional differential equations
KISELA, T. ČERMÁK, J.
Anglický název
Delay-dependent stability switches in fractional differential equations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
This paper discusses stability properties of a linear fractional delay differential system involving both delayed as well as non-delayed terms. As a main result, the explicit stability dependence on a changing time delay is described, including conditions for the appearance, number and exact calculations of stability switches for this system when its stability property turns into instability and vice versa in view of a monotonically increasing lag. Some supporting asymptotic results are stated as well. The proof technique is based on analysis of the generalized delay exponential function of the Mittag-Leffler type combined with D-decomposition method. The obtained results are illustrated via a fractional Lotka-Volterra population model and applied to a stabilization problem of the control theory.
Anglický abstrakt
This paper discusses stability properties of a linear fractional delay differential system involving both delayed as well as non-delayed terms. As a main result, the explicit stability dependence on a changing time delay is described, including conditions for the appearance, number and exact calculations of stability switches for this system when its stability property turns into instability and vice versa in view of a monotonically increasing lag. Some supporting asymptotic results are stated as well. The proof technique is based on analysis of the generalized delay exponential function of the Mittag-Leffler type combined with D-decomposition method. The obtained results are illustrated via a fractional Lotka-Volterra population model and applied to a stabilization problem of the control theory.
Klíčová slova anglicky
Fractional delay differential equation; Stability switch; Asymptotic behaviour; Stabilization
Vydáno
01.12.2019
Nakladatel
Elsevier
Místo
RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS
ISSN
1007-5704
Ročník
79
Číslo
1
Strany od–do
1–19
Počet stran
19
BIBTEX
@article{BUT159358,
author="Tomáš {Kisela} and Jan {Čermák},
title="Delay-dependent stability switches in fractional differential equations",
year="2019",
volume="79",
number="1",
month="December",
pages="1--19",
publisher="Elsevier",
address="RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS",
issn="1007-5704"
}