Publication detail

Asymptotic stability regions for certain two parametric full-term linear difference equation

TOMÁŠEK, P.

English title

Asymptotic stability regions for certain two parametric full-term linear difference equation

Type

conference paper

Language

en

Original abstract

We introduce an efficient form of necessary and sufficient conditions for asymptotic stability of the k-th order linear difference equation y(n+k)+a\sum_{j=1}^{k-1}(-1)^j y(n+k-j) + by(n)=0, where a,b are real parameters. The asymptotic stability region in (a,b) plane for this equation will be constructed and discussed with respect to some related linear difference equations.

English abstract

We introduce an efficient form of necessary and sufficient conditions for asymptotic stability of the k-th order linear difference equation y(n+k)+a\sum_{j=1}^{k-1}(-1)^j y(n+k-j) + by(n)=0, where a,b are real parameters. The asymptotic stability region in (a,b) plane for this equation will be constructed and discussed with respect to some related linear difference equations.

Keywords in English

Difference equation; Stability; The Schur-Cohn criterion

Released

01.10.2016

Publisher

Springer

Location

New York

ISBN

978-3-319-32855-3

ISSN

2194-1009

Book

Differential and Difference Equations with Applications

Volume

164

Edition number

164

Pages from–to

323–330

Pages count

8

BIBTEX


@inproceedings{BUT122444,
  author="Petr {Tomášek},
  title="Asymptotic stability regions for certain two parametric full-term linear difference equation",
  booktitle="Differential and Difference Equations with Applications",
  year="2016",
  volume="164",
  month="October",
  pages="323--330",
  publisher="Springer",
  address="New York",
  isbn="978-3-319-32855-3",
  issn="2194-1009"
}