Detail publikace

Two types of stability conditions for linear delay difference equations

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

Originální název

Two types of stability conditions for linear delay difference equations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

Delay difference equation, asymptotic stability, characteristic polynomial.

Autoři

ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P.

Rok RIV

2015

Vydáno

3. 4. 2015

Nakladatel

University of Belgrade and Academic Mind

Místo

Belgrade

ISSN

1452-8630

Periodikum

Applicable Analysis and Discrete Mathematics

Ročník

9

Číslo

4

Stát

Srbská republika

Strany od

120

Strany do

138

Strany počet

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"
}