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
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/"
}