Geodesic
An analysis of the stability boundary for a linear fractional difference system
Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 195-203

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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.
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.
DOI : 10.21136/MB.2015.144325
Classification : 26A33, 34A08, 39A06, 39A12, 39A30
Keywords: fractional difference system; stability; Laplace transform 
Kisela, Tomáš. An analysis of the stability boundary for a linear fractional difference system. Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 195-203. doi: 10.21136/MB.2015.144325
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