- Tytuł:
- Pointwise observation of the state given by parabolic system with boundary condition involving multiple time delays
- Autorzy:
- Kowalewski, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/229185.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
distributed control
parabolic system
time delays
pointwise observation - Opis:
- Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic equation with the Neumann boundary condition involving multiple time delays are proved. The time horizon T is fixed. Making use of the Lions scheme [13], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic cost function with pointwise observation of the state and constrained control are derived.
- Źródło:
-
Archives of Control Sciences; 2016, 26, 2; 189-197
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł