Publication detail

Two types of stability conditions for linear delay difference equations

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

Original Title

Two types of stability conditions for linear delay difference equations

Type

journal article in Web of Science

Language

English

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

Delay difference equation, asymptotic stability, characteristic polynomial.

Authors

ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P.

RIV year

2015

Released

3. 4. 2015

Publisher

University of Belgrade and Academic Mind

Location

Belgrade

ISBN

1452-8630

Periodical

Applicable Analysis and Discrete Mathematics

Year of study

9

Number

4

State

Republic of Serbia

Pages from

120

Pages to

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"
}