Publication detail
On explicit stability conditions for a linear fractional difference system
ČERMÁK, J. NECHVÁTAL, L. GYŐRI, I.
Czech title
O explicitních podmínkách stability lineárního zlomkového diferenčního systému
English title
On explicit stability conditions for a linear fractional difference system
Type
journal article in Web of Science
Language
en
Original abstract
The paper describes the stability area for an autonomous difference system with the Caputo and Riemann-Liouville forward difference operator whose order is between 0 and 1. Contrary to the existing result on this topic, our stability conditions are fully explicit and involve the decay rate of the solutions. Some comparisons, consequences and illustrated examples are presented as well.
Czech abstract
Článek popisuje oblast stability pro autonomní diferenční systém s dopředným operátorem Caputova a Riemannova-Liouvilleova typu s řádem mezi 0 a 1. Na rozdíl od dosavadních výsledků, naše odvozené podmínky stability jsou plně explicitní a zahrnují také asymptoický odhad rychlosti konvergence řešení. Prezentována jsou také některá srovnání, důsledky a ilustrující příklady.
English abstract
The paper describes the stability area for an autonomous difference system with the Caputo and Riemann-Liouville forward difference operator whose order is between 0 and 1. Contrary to the existing result on this topic, our stability conditions are fully explicit and involve the decay rate of the solutions. Some comparisons, consequences and illustrated examples are presented as well.
Keywords in Czech
diferenční systém neceločíselného řádu; Caputův diferenční operátor; Riemannův-Liouvilleův diferenční operátor; asymptotická stabilita
Keywords in English
fractional-order difference system; Caputo difference operator; Riemann-Liouville difference operator; asymptotic stability
RIV year
2015
Released
30.06.2015
Publisher
Walter de Gruyter GmbH, Berlin/Boston
Location
Berlin, Germany
ISSN
1311-0454
Volume
18
Number
3
Pages from–to
651–672
Pages count
22
BIBTEX
@article{BUT117956,
author="Jan {Čermák} and Luděk {Nechvátal} and István {Győri},
title="On explicit stability conditions for a linear fractional difference system",
year="2015",
volume="18",
number="3",
month="June",
pages="651--672",
publisher="Walter de Gruyter GmbH, Berlin/Boston",
address="Berlin, Germany",
issn="1311-0454"
}