- Tytuł:
- Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation
- Autorzy:
-
Just, A.
Stempień, Z. - Powiązania:
- https://bibliotekanauki.pl/articles/255243.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
nonlinear beam equation
Pareto optimal control
Galerkin approximation - Opis:
- Our goal is to study the Pareto optimal control system for a nonlinear one-dimensional extensible beam equation and its Galerkin approximation. First we consider a mathematical model of the beam equation which was obtained by S. Woinowsky-Krieger in 1950. Next we consider the Pareto optimal control problem based on this equation. Further, we describe the approximation of this system. We use the Galerkin method to approximate the solution of this control problem with respect to a spatial variable. Based on the standard finite dimensional approximation we prove that as the discretization parameters tend to zero then the weak accumulation point of the solutions of the discrete optimal control problems exist and each of these points is the solution of the original Pareto optimal control problem.
- Źródło:
-
Opuscula Mathematica; 2016, 36, 2; 239-252
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł