- Tytuł:
- Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
- Autorzy:
-
Wachsmuth, D.
Wachsmuth, G. - Powiązania:
- https://bibliotekanauki.pl/articles/206129.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
source condition
discrepancy principle
nonsmooth optimization
convex constraints
sparsity
regularization error estimates - Opis:
- In this article we study the regularization of optimization problems by Tikhonov regularization. The optimization problems are subject to pointwise inequality constraints in L²(Ω). We derive a-priori regularization error estimates if the regularization parameter as well as the noise level tend to zero. We rely on an assumption that is a combination of a source condition and of a structural assumption on the active sets. Moreover, we introduce a strategy to choose the regularization parameter in dependence of the noise level. We prove convergence of this parameter choice rule with optimal order.
- Źródło:
-
Control and Cybernetics; 2011, 40, 4; 1125-1158
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł