Publication detail

Stability regions for linear fractional differential systems and their discretizations

ČERMÁK, J. KISELA, T. NECHVÁTAL, L.

Czech title

Oblasti stability pro lineární zlomkové diferenciální systémy and jejich diskretizace

English title

Stability regions for linear fractional differential systems and their discretizations

Type

journal article - other

Language

en

Original abstract

This paper concerns with basic stability properties of linear autonomous fractional differential and difference systems involving derivative operators of the Riemann-Liouville type. We derive stability regions for special discretizations of the studied fractional differential systems including a precise description of their asymptotics.

Czech abstract

Článek diskutuje otázky stability lineárních autonomních zlomkových diferenciálních a diferenčních systémů obsahujících diferenciální operátory Riemannova-Liouvilleova typu. Odvozeny jsou oblasti stability pro speciální diskretizace studovaných zlomkových diferenciálních systémů včetně popisu jejich asymptotiky.

English abstract

This paper concerns with basic stability properties of linear autonomous fractional differential and difference systems involving derivative operators of the Riemann-Liouville type. We derive stability regions for special discretizations of the studied fractional differential systems including a precise description of their asymptotics.

Keywords in Czech

Zlomkový diferenciální systém; zlomkový diferenční systém; asymptotická stabilita; Laplaceova transformace

Keywords in English

Fractional differential system; fractional difference system; asymptotic stability; Laplace transform

RIV year

2013

Released

15.02.2013

ISSN

0096-3003

Volume

219

Number

12

Pages from–to

7012–7022

Pages count

11

BIBTEX


@article{BUT95733,
  author="Jan {Čermák} and Tomáš {Kisela} and Luděk {Nechvátal},
  title="Stability regions for linear fractional differential systems and their discretizations",
  year="2013",
  volume="219",
  number="12",
  month="February",
  pages="7012--7022",
  issn="0096-3003"
}