Publication detail

An analysis of the stability boundary for a linear fractional difference system

KISELA, T.

Original Title

An analysis of the stability boundary for a linear fractional difference system

Type

journal article in Web of Science

Language

English

Original Abstract

This paper deals with basic stability properties of a two-term linear autonomous fractional difference system involving the Riemann-Liouville difference. In particular, we focus on the case when eigenvalues of the system matrix lie on a boundary curve separating asymptotic stability and unstability regions. This issue was posed as an open problem in the paper J. Čermák, T. Kisela, and L. Nechvátal (2013). Thus, the paper completes the stability analysis of the corresponding fractional difference system.

Keywords

fractional difference system; stability; Laplace transform

Authors

KISELA, T.

RIV year

2015

Released

15. 7. 2015

ISBN

0862-7959

Periodical

Mathematica Bohemica

Year of study

140

Number

2

State

Czech Republic

Pages from

195

Pages to

203

Pages count

9

BibTex

@article{BUT115852,
  author="Tomáš {Kisela}",
  title="An analysis of the stability boundary for a linear fractional difference system",
  journal="Mathematica Bohemica",
  year="2015",
  volume="140",
  number="2",
  pages="195--203",
  issn="0862-7959"
}