- Tytuł:
- On properties of minimizers of a control problem with time-distributed functional related to parabolic equations
- Autorzy:
-
Astashova, I. V.
Filinovskiy, A. V. - Powiązania:
- https://bibliotekanauki.pl/articles/255539.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
parabolic equation
extremal problem
quadratic cost functional
minimizer
exact controllability
dense controllability - Opis:
- We consider a control problem given by a mathematical model of the temperature control in industrial hothouses. The model is based on one-dimensional parabolic equations with variable coefficients. The optimal control is defined as a minimizer of a quadratic cost functional. We describe qualitative properties of this minimizer, study the structure of the set of accessible temperature functions, and prove the dense controllability for some set of control functions.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 5; 595-609
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł