Detail publikace

Two types of stability conditions for linear delay difference equations

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

Anglický název

Two types of stability conditions for linear delay difference equations

Typ

Článek WoS

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

Delay difference equation, asymptotic stability, characteristic polynomial.

Vydáno

2015-04-03

Nakladatel

University of Belgrade and Academic Mind

Místo

Belgrade

ISSN

1452-8630

Časopis

Applicable Analysis and Discrete Mathematics

Ročník

9

Číslo

4

Strany od–do

120–138

Počet stran

19

BIBTEX


@article{BUT114359,
  author="Jan {Čermák} and Jiří {Jánský} and Petr {Tomášek}",
  title="Two types of stability conditions for linear delay difference equations",
  journal="Applicable Analysis and Discrete Mathematics",
  year="2015",
  volume="9",
  number="4",
  pages="120--138",
  doi="10.2298/AADM141009016C",
  issn="1452-8630"
}