- Tytuł:
- Control and optimization of abstract continuous time evolution inclusions
- Autorzy:
- Mokhtar-Kharroubi, Hocine
- Powiązania:
- https://bibliotekanauki.pl/articles/31342761.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
evolution inclusion
well-posedness
optimal control
strong duality
system of optimality
Fenchel duality
convex process of evolution
integrodifferential inclusions - Opis:
- Abstract controlled evolution inclusions are revisited in the Banach spaces setting. The existence of solution is established for each selected control. Then, the input–output (or, control-states) multimap is examined and the Lipschitz continuous well posedness is derived. The optimal control of such inclusions handled in terms of a Bolza problem is investigated by means of the so-called PF format of optimization. A strong duality is provided, the existence of an optimal pair is given and the system of optimalty is derived. A Fenchel duality is built and applied to optimal control of convex process of evolution. Finally, it will be shown how the general theory we provided can be applied to a wide class of controled integrodifferental inclusions.
- Źródło:
-
Control and Cybernetics; 2023, 52, 1; 5-34
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł