Publication detail

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

TOMÁŠEK, P.

Original Title

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

Type

conference paper

Language

English

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.

Keywords

Difference equation; Stability; The Schur-Cohn criterion

Authors

TOMÁŠEK, P.

Released

1. 10. 2016

Publisher

Springer

Location

New York

ISBN

978-3-319-32855-3

Book

Differential and Difference Equations with Applications

Edition

Springer Proceedings in Mathematics and Statistics

Edition number

164

ISBN

2194-1009

Periodical

Springer Proceedings in Mathematics & Statistics

Year of study

164

State

Federal Republic of Germany

Pages from

323

Pages to

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",
  series="Springer Proceedings in Mathematics and Statistics",
  journal="Springer Proceedings in Mathematics & Statistics",
  volume="164",
  number="164",
  pages="323--330",
  publisher="Springer",
  address="New York",
  doi="10.1007/978-3-319-32857-7\{_}30",
  isbn="978-3-319-32855-3",
  issn="2194-1009"
}