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

Title:

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

Creator:

Kisela, Tomáš

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:99f3ac8e-963e-4c5b-8af7-1b37a4a7f104
uuid:99f3ac8e-963e-4c5b-8af7-1b37a4a7f104
doi:10.21136/MB.2015.144325

Subject:

fractional difference system, stability, and Laplace transform

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

195-203

Source:

Mathematica bohemica | 2015 Volume:140 | Number:2

Harvested from:

CDK

Metadata only:

false