Publication detail

Stability conditions for linear delay difference equations: A survey and perspectives

ČERMÁK, J.

Original Title

Stability conditions for linear delay difference equations: A survey and perspectives

Type

journal article in Scopus

Language

English

Original Abstract

The paper presents an overview of the basic results and methods for stability investigations of higher-order linear autonomous difference equations. The presented criteria formulate several types of necessary and sufficient conditions for the asymptotic stability of the zero solution of studied equations, with a special emphasize put on delay difference equations. Various comments, comparisons, examples and illustrations are given to support theoretical results.

Keywords

linear difference equation; asymptotic stability; location of polynomial zeros

Authors

ČERMÁK, J.

RIV year

2015

Released

1. 8. 2015

Publisher

De Gruyter

Location

Bratislava

ISBN

1210-3195

Periodical

Tatra Mountains Mathematical Publications

Year of study

63

Number

63

State

Czech Republic

Pages from

1

Pages to

29

Pages count

29

URL

http://tatra.mat.savba.sk/

BibTex

@article{BUT118696,
  author="Jan {Čermák}",
  title="Stability conditions for linear delay difference equations: A survey and perspectives",
  journal="Tatra Mountains Mathematical Publications",
  year="2015",
  volume="63",
  number="63",
  pages="1--29",
  doi="10.1515/tmmp-2015-0017",
  issn="1210-3195",
  url="http://tatra.mat.savba.sk/"
}