Publication detail
Asymptotic stability of a full term linear difference equation with two parameters
TOMÁŠEK, P.
Czech title
Asymptotická stabilita lineární diferenční rovnice se dvěma parametry
English title
Asymptotic stability of a full term linear difference equation with two parameters
Type
journal article in Scopus
Language
en
Original abstract
The paper introduces an efficient form of necessary and sufficient conditions for a special full term linear difference equation with two real parameters to be asymptotically stable. The result is obtained utilizing the Schur-Cohn criterion. The asymptotic stability region in the parameters plane is also illustrated in the paper.
Czech abstract
Článek uvádí efektivní tvar nutných a postačujících podmínek pro asymptotickou stabilitu speciální dvouparametrické lineární diferenční rovnice. Analýza je založena na použití Schurova-Cohnova kritéria. V článku jsou rovněž uvedeny oblasti asymptotické stability v rovině uvažovaných parametrů.
English abstract
The paper introduces an efficient form of necessary and sufficient conditions for a special full term linear difference equation with two real parameters to be asymptotically stable. The result is obtained utilizing the Schur-Cohn criterion. The asymptotic stability region in the parameters plane is also illustrated in the paper.
Keywords in Czech
asymptotická stabilita, lineární diferenční rovnice
Keywords in English
asymptotic stability, linear difference equation
RIV year
2015
Released
01.06.2015
Publisher
Mathematical Institute, Slovak Academy of Sciences
Location
Bratislava
ISSN
1210-3195
Volume
63
Number
1
Pages from–to
283–290
Pages count
8
BIBTEX
@article{BUT115840,
author="Petr {Tomášek},
title="Asymptotic stability of a full term linear difference equation with two parameters",
year="2015",
volume="63",
number="1",
month="June",
pages="283--290",
publisher="Mathematical Institute, Slovak Academy of Sciences",
address="Bratislava",
issn="1210-3195"
}