- Tytuł:
- Optimality conditions for state-constrained PDE control problems with time-dependent controls
- Autorzy:
-
Los Reyes, J. C. de
Merino, P.
Rehberg, F.
Troltzsch, F. - Powiązania:
- https://bibliotekanauki.pl/articles/971009.pdf
- Data publikacji:
- 2008
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
równanie paraboliczne
równanie eliptyczne
sterowanie optymalne
parabolic equation
elliptic equation
optimal control
pointwise state constraints
sufficient optimality conditions
restricted control class - Opis:
- The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject to pointwise state constraints. The main issue is that the controls are taken from a restricted control space. In the parabolic case, they are Rm -vector-valued functions of time, while they are vectors of Rm in elliptic problems. Under natural assumptions, first- and second-order sufficient optimality conditions are derived. The main result is the extension of second-order sufficient conditions to semilinear parabolic equations in domains of arbitrary dimension. In the elliptic case, the problems can be handled by known results of semi-infinite optimization. Here, different examples are discussed that exhibit different forms of active sets and where second-order sufficient conditions are satisfied at the optimal solution.
- Źródło:
-
Control and Cybernetics; 2008, 37, 1; 5-38
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł