| Title:
|
An analysis of the stability boundary for a linear fractional difference system (English) |
| Author:
|
Kisela, Tomáš |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
140 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
195-203 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
fractional difference system |
| Keyword:
|
stability |
| Keyword:
|
Laplace transform |
| MSC:
|
26A33 |
| MSC:
|
34A08 |
| MSC:
|
39A06 |
| MSC:
|
39A12 |
| MSC:
|
39A30 |
| idZBL:
|
Zbl 06486933 |
| idMR:
|
MR3368493 |
| DOI:
|
10.21136/MB.2015.144325 |
| . |
| Date available:
|
2015-06-30T12:18:22Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144325 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Čermák, J., Kisela, T., Nechvátal, L.: Stability regions for linear fractional differential systems and their discretizations.Appl. Math. Comput. 219 (2013), 7012-7022. Zbl 1288.34005, MR 3027865, 10.1016/j.amc.2012.12.019 |
| Reference:
|
[4] Čermák, J., Kisela, T., Nechvátal, L.: Stability and asymptotic properties of a linear fractional difference equation.Adv. Difference Equ. (electronic only) (2012),2012:122 14 pages. MR 2972648 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
