- Tytuł:
- The maximum principle in optimal control, then and now
- Autorzy:
- Clarke, F.
- Powiązania:
- https://bibliotekanauki.pl/articles/970551.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
sterowanie optymalne
warunek konieczny
zasada maksimum
analiza niegładka
optimal control
necessary conditions
maximum principle
nonsmooth analysis - Opis:
- We discuss the evolution of the Pontryagin maximum principle, focusing primarily on the hypotheses required for its validity. We proceed to describe briefly a unifying result giving rise to both classical and new versions, a recent theorem of the author giving necessary conditions for optimal control problems formulated in terms of differential inclusions. We conclude with a new application of this result for the case in which mixed constraints on the state and control are imposed in terms of equalities, inequalities, and unilateral set constraints. In order to lighten the exposition, the discussion is limited to differentiable data, thereby avoiding mention of generalized gradients or normal cones, except, in the technical section on differential inclusions.
- Źródło:
-
Control and Cybernetics; 2005, 34, 3; 709-722
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł