Publication detail

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

KISELA, T.

Czech title

Analýza hranice stability pro lineární zlomkový diferenční systém

English title

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

Type

journal article in Web of Science

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.

Czech abstract

Článek se zabývá základy stability dvoučlenného lineárního autonomního zlomkového diferenčního systému obsahujícího Rimennovu-Liouvilleovu diferenci. Zaměřujeme se na případ, kdy vlastní čísla matice systému leží na hraniční křivce oddělující oblast asymptotické stability a nestability. Tato otázka byla uvedena jako otevřený problém v článku J. Čermák, T. Kisela, and L. Nechvátal (2013). Tedy náš článek zúplňuje analýzu stability odpovídajícího zlomkového diferenčního systému.

English 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 Czech

zlomkový diferenční systém; stabilita; Laplaceova transformace

Keywords in English

fractional difference system; stability; Laplace transform

RIV year

2015

Released

15.07.2015

ISSN

0862-7959

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",
  year="2015",
  volume="140",
  number="2",
  month="July",
  pages="195--203",
  issn="0862-7959"
}