| Title:
|
On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays (English) |
| Author:
|
Sikora, Beata |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
675-689 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper presents finite-dimensional dynamical control systems described by semilinear fractional-order state equations with multiple delays in the control and nonlinear function $f$. The relative controllability of the presented semilinear system is discussed. Rothe's fixed point theorem is applied to study the controllability of the fractional-order semilinear system. A control that steers the semilinear system from an initial complete state to a final state at time $t>0$ is presented. A numerical example is provided to illustrate the obtained theoretical results and a practical example is given to show a possible application of the study. (English) |
| Keyword:
|
fractional systems |
| Keyword:
|
semilinear control systems |
| Keyword:
|
Rothe's fixed point theorem |
| Keyword:
|
delays in control |
| Keyword:
|
pseudo-transition matrix |
| Keyword:
|
the Caputo derivative |
| MSC:
|
34G20 |
| MSC:
|
93B05 |
| MSC:
|
93C05 |
| MSC:
|
93C10 |
| idZBL:
|
Zbl 07177910 |
| idMR:
|
MR4043542 |
| DOI:
|
10.14736/kyb-2019-4-0675 |
| . |
| Date available:
|
2020-01-10T14:22:08Z |
| Last updated:
|
2020-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147963 |
| . |
| Reference:
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