Abstrakt: |
Abstract: 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. |