Publication detail

Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case

KISELA, T. ČERMÁK, J.

English title

Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case

Type

WoS Article

Language

en

Original abstract

The paper discusses asymptotic stability conditions for the linear fractional difference equation ∇αy(n) + a∇βy(n) + by(n) = 0 with real coefficients a, b and real orders α > β > 0 such that α/β is a rational number. For given α, β, we describe various types of discrete stability regions in the (a, b)-plane and compare them with the stability regions recently derived for the underlying continuous pattern Dαx(t) + aDβx(t) + bx(t) = 0 involving two Caputo fractional derivatives. Our analysis shows that discrete stability sets are larger and their structure much more rich than in the case of the continuous counterparts.

Keywords in English

fractional differential equation; fractional difference equation; asymptotic stability; fractional Schur-Cohn criterion

Released

2015-04-30

ISSN

1311-0454

Journal

Fractional Calculus and Applied Analysis

Volume

18

Number

2

Pages from–to

437–458

Pages count

22

BIBTEX


@article{BUT115854,
  author="Tomáš {Kisela} and Jan {Čermák}",
  title="Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case",
  journal="Fractional Calculus and Applied Analysis",
  year="2015",
  volume="18",
  number="2",
  pages="437--458",
  doi="10.1515/fca-2015-0028",
  issn="1311-0454"
}