- Tytuł:
- Regularization and discretization of linear-quadratic control problems
- Autorzy:
-
Alt, W.
Seydenschwanz, M. - Powiązania:
- https://bibliotekanauki.pl/articles/206162.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal control
bang-bang control
regularization
discretization - Opis:
- We analyze regularizations of a class of linear-quadratic optimal control problems with control appearing linearly. It is shown that if the optimal control is bang-bang or if a coercivity condition for the state variables is satisfied, the solutions are continuous functions of the regularization parameter. Combining error estimates for Euler discretizations of the regularized problems with those for the regularization error, we choose the regularization parameter in dependence of the meshsize to obtain optimal convergence rates for the discrete solutions. Numerical experiments confirm the theoretical findings.
- Źródło:
-
Control and Cybernetics; 2011, 40, 4; 903-920
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł