- Tytuł:
- Sufficient conditions for unique global solutions in optimal control of semilinear equations with C1 nonlinearity
- Autorzy:
-
Ahmad Ali, Ahmad
Deckelnick, Klaus
Hinze, Michael - Powiązania:
- https://bibliotekanauki.pl/articles/1839143.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal control
semilinear PDE
uniqueness of global solutions - Opis:
- We consider a semilinear elliptic optimal control problem possibly subject to control and/or state constraints. Generalizing previous work, presented in Ahmad Ali, Deckelnick and Hinze (2016) we provide a condition which guarantees that a solution of the necessary first order conditions is a global minimum. A similiar result also holds at the discrete level where the corresponding condition can be evaluated explicitly. Our investigations are motivated by G¨unter Leugering, who raised the question whether the problem class considered in Ahmad Ali, Deckelnick and Hinze (2016) can be extended to the nonlinearity φ(s) = s|s|. We develop a corresponding analysis and present several numerical test examples demonstrating its usefulness in practice.
- Źródło:
-
Control and Cybernetics; 2019, 48, 2; 325-344
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł