Detail publikačního výsledku

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

Anglický název

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

Druh

Článek Scopus

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.

Anglický 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

Klíčová slova v angličtině

linear difference equation; asymptotic stability; location of polynomial zeros

Autoři

ČERMÁK, J.

Rok RIV

2016

Vydáno

01.08.2015

Nakladatel

De Gruyter

Místo

Bratislava

ISSN

1210-3195

Periodikum

Tatra Mountains Mathematical Publications

Svazek

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/"
}