Publication detail

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

KISELA, T.

English title

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

Type

WoS Article

Language

en

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 in English

fractional difference system; stability; Laplace transform

Released

2015-07-15

ISSN

0862-7959

Journal

Mathematica Bohemica

Volume

140

Number

2

Pages from–to

195–203

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"
}