- Tytuł:
- On a linear-quadratic problem with Caputo derivative
- Autorzy:
-
Idczak, D.
Walczak, S. - Powiązania:
- https://bibliotekanauki.pl/articles/254761.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
fractional Caputo derivative
linear quadratic problem
existence and uniqueness of a solution
maximum principle
gradient method
projection of the gradient method - Opis:
- In this paper, we study a linear-quadratic optimal control problem with a fractional control system containing a Caputo derivative of unknown function. First, we derive the formulas for the differential and gradient of the cost functional under given constraints. Next, we prove an existence result and derive a maximum principle. Finally, we describe the gradient and projection of the gradient methods for the problem under consideration.
- Źródło:
-
Opuscula Mathematica; 2016, 36, 1; 49-68
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł