Publication detail

Two types of stability conditions for linear delay difference equations

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

English title

Two types of stability conditions for linear delay difference equations

Type

WoS Article

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.

Keywords in English

Delay difference equation, asymptotic stability, characteristic polynomial.

Released

2015-04-03

Publisher

University of Belgrade and Academic Mind

Location

Belgrade

ISSN

1452-8630

Journal

Applicable Analysis and Discrete Mathematics

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",
  journal="Applicable Analysis and Discrete Mathematics",
  year="2015",
  volume="9",
  number="4",
  pages="120--138",
  doi="10.2298/AADM141009016C",
  issn="1452-8630"
}