- Tytuł:
- Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints
- Autorzy:
-
Chryssoverghi, I.
Bacopoulos, A.
Coletsos, J.
Kokkinis, B. - Tematy:
-
dyskretyzacja
nieliniowy układ hiperboliczny
sterowanie optymalne
zasada minimum
discretization
existence theory
minimum principle
nonlinear hyperbolic systems
optimal control
relaxed controls - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/205975.pdf Link otwiera się w nowym oknie
- Opis:
- We consider an opitmal control problem for systems defined by nonlinear hyperbolic partial differential equations with state constraints. Since no convexity assumptions are made on the data, we also consider the control problem in relaxed form. We discretize both the classical and the relaxed problenms by using a finite element method in space and a finite difference scheme in time, the controls being approximated by piecevise constant ones. We develop the existence theory and the necessary conditions for optimality, for the continous and the discrete problems. Finally, we study the behaviour in the limit of discrete optimality, admissibility and extremality properties.
- Dostawca treści:
- Biblioteka Nauki
Artykuł