- Tytuł:
- Optimal sparse boundary control for a semilinear parabolic equation with mixed control-state constraints
- Autorzy:
-
Casas, Eduardo
Troltzsch, Fredi - Powiązania:
- https://bibliotekanauki.pl/articles/970122.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
semilinear parabolic equation
optimal control
sparse boundary control
mixed control-state constraints - Opis:
- A problem of sparse optimal boundary control for a semilinear parabolic partial differential equation is considered, where pointwise bounds on the control and mixed pointwise control-state constraints are given. A standard quadratic objective functional is to be minimized that includes a Tikhonov regularization term and the L1-norm of the control accounting for the sparsity. Applying a recent linearization theorem, we derive first-order necessary optimality conditions in terms of a variational inequality under linearized mixed control state constraints. Based on this preliminary result, a Lagrange multiplier rule with bounded and measurable multipliers is derived and sparsity results on the optimal control are demonstrated.
- Źródło:
-
Control and Cybernetics; 2019, 48, 1; 89-124
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł