Detail publikace

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

ČERMÁK, J.

Originální název

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

Typ

článek v časopise ve Scopus, Jsc

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

linear difference equation; asymptotic stability; location of polynomial zeros

Autoři

ČERMÁK, J.

Rok RIV

2015

Vydáno

1. 8. 2015

Nakladatel

De Gruyter

Místo

Bratislava

ISSN

1210-3195

Periodikum

Tatra Mountains Mathematical Publications

Ročník

63

Číslo

63

Stát

Česká republika

Strany od

1

Strany do

29

Strany počet

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/"
}