1. An analysis of the stability boundary for a linear fractional difference system
- Creator:
- Kisela, Tomáš
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- fractional difference system, stability, and Laplace transform
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public