- Tytuł:
- On the regularization error of state constrained Neumann control problems
- Autorzy:
-
Krumbiegel, K.
Rosch, A. - Powiązania:
- https://bibliotekanauki.pl/articles/969594.pdf
- Data publikacji:
- 2008
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal control
elliptic equation
state constraints
boundary control
regularization
virtual control - Opis:
- A linear elliptic optimal control problem with point-wise state constraints in the interior of the domain is considered. Furthermore, the control is given on the boundary with associated constraints. An artificial distributed control is introduced in the cost functional, in the state equation and in the state constraints. Since there are no control constraints for the artificial control, efficient numerical methods can be easily established. Based on a possible violation of the pure pointwise state constraints, an error estimate for the regularization error is derived. The theoretical results are illustrated by numerical tests.
- Źródło:
-
Control and Cybernetics; 2008, 37, 2; 369-392
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł