- Tytuł:
- A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure
- Autorzy:
-
Dmitruk, Andrei
Samylovskiy, Ivan - Powiązania:
- https://bibliotekanauki.pl/articles/729308.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
optimal control problem
Pontryagin Maximum Principle
extremals
singular arcs - Opis:
- We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle we obtain the form of optimal control and establish conditions under which it contains a singular subarc. This problem seems to be the simplest one having a mechanical sense in which singular subarcs appear in a nontrivial way.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 135-147
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł