Publication result detail

On explicit stability conditions for a linear fractional difference system

ČERMÁK, J.; NECHVÁTAL, L.; GYŐRI, I.

Original Title

On explicit stability conditions for a linear fractional difference system

English Title

On explicit stability conditions for a linear fractional difference system

Type

WoS Article

Original Abstract

The paper describes the stability area for an autonomous difference system with the Caputo and Riemann-Liouville forward difference operator whose order is between 0 and 1. Contrary to the existing result on this topic, our stability conditions are fully explicit and involve the decay rate of the solutions. Some comparisons, consequences and illustrated examples are presented as well.

English abstract

The paper describes the stability area for an autonomous difference system with the Caputo and Riemann-Liouville forward difference operator whose order is between 0 and 1. Contrary to the existing result on this topic, our stability conditions are fully explicit and involve the decay rate of the solutions. Some comparisons, consequences and illustrated examples are presented as well.

Keywords

fractional-order difference system; Caputo difference operator; Riemann-Liouville difference operator; asymptotic stability

Key words in English

fractional-order difference system; Caputo difference operator; Riemann-Liouville difference operator; asymptotic stability

Authors

ČERMÁK, J.; NECHVÁTAL, L.; GYŐRI, I.

RIV year

2016

Released

30.06.2015

Publisher

Walter de Gruyter GmbH, Berlin/Boston

Location

Berlin, Germany

ISBN

1311-0454

Periodical

Fractional Calculus and Applied Analysis

Volume

18

Number

3

State

Republic of Bulgaria

Pages from

651

Pages to

672

Pages count

22

URL

http://www.degruyter.com/view/j/fca.2015.18.issue-3/issue-files/fca.2015.18.issue-3.xml

BibTex

@article{BUT117956,
  author="Jan {Čermák} and Luděk {Nechvátal} and István {Győri}",
  title="On explicit stability conditions for a linear fractional difference system",
  journal="Fractional Calculus and Applied Analysis",
  year="2015",
  volume="18",
  number="3",
  pages="651--672",
  doi="10.1515/fca-2015-0040",
  issn="1311-0454",
  url="http://www.degruyter.com/view/j/fca.2015.18.issue-3/issue-files/fca.2015.18.issue-3.xml"
}