| Title:
|
Stability of nonlinear $h$-difference systems with $n$ fractional orders (English) |
| Author:
|
Wyrwas, Małgorzata |
| Author:
|
Pawluszewicz, Ewa |
| Author:
|
Girejko, Ewa |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
112-136 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we study the subject of stability of systems with $h$-differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with $n$ fractional orders. The equivalent descriptions of fractional $h$-difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with $n$-orders. (English) |
| Keyword:
|
fractional difference systems |
| Keyword:
|
difference operators |
| Keyword:
|
stability |
| MSC:
|
39A13 |
| MSC:
|
93Dxx |
| idZBL:
|
Zbl 06433835 |
| idMR:
|
MR3333836 |
| DOI:
|
10.14736/kyb-2015-1-0112 |
| . |
| Date available:
|
2015-03-23T18:54:13Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144205 |
| . |
| Reference:
|
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