Publication detail

Two types of stability conditions for linear delay difference equations

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

Czech title

Dva typy podmínek stability pro lineární diferenční rovnice se zpožděním

English title

Two types of stability conditions for linear delay difference equations

Type

journal article in Web of Science

Language

en

Original abstract

The paper discusses asymptotic stability conditions for a four-parameter linear difference equation appearing in the process of discretization of a delay differential equation. We present two types of conditions, which are necessary and sufficient for asymptotic stability of the studied equation. A relationship between both the types of conditions is established and some of their consequences are discussed.

Czech abstract

Článek diskutuje podmínky asymptotické stability pro čtyřčlennou lineární diferenční rovnici, která je diskretizací jisté diferenciální rovnice se zpožděním. Prezentovány jsou dva typy podmínek, které jsou nutné a postačující pro asymptotickou stabilitu studované rovnice. Diskutován je také vztah mezi oběma typy podmínek, včetně jejich důsledků.

English abstract

The paper discusses asymptotic stability conditions for a four-parameter linear difference equation appearing in the process of discretization of a delay differential equation. We present two types of conditions, which are necessary and sufficient for asymptotic stability of the studied equation. A relationship between both the types of conditions is established and some of their consequences are discussed.

Keywords in Czech

Diferenční rovnice se zpožděním, asymptotická stabilita, characteristický polynom.

Keywords in English

Delay difference equation, asymptotic stability, characteristic polynomial.

RIV year

2015

Released

03.04.2015

Publisher

University of Belgrade and Academic Mind

Location

Belgrade

ISSN

1452-8630

Volume

9

Number

4

Pages from–to

120–138

Pages count

19

BIBTEX


@article{BUT114359,
  author="Jan {Čermák} and Jiří {Jánský} and Petr {Tomášek},
  title="Two types of stability conditions for linear delay difference equations",
  year="2015",
  volume="9",
  number="4",
  month="April",
  pages="120--138",
  publisher="University of Belgrade and Academic Mind",
  address="Belgrade",
  issn="1452-8630"
}