- Tytuł:
- Extremals of the time optimal control problem for a material point moving along a straight line in the presence of friction and limitation on the velocity
- Autorzy:
-
Osmolovskii, N. P.
Figura, A.
Kośka, M.
Wójtowicz, M. - Powiązania:
- https://bibliotekanauki.pl/articles/206453.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
material point
resistance forces
acceleration
deceleration
Pontryagin’s maximum principle
second order optimality conditions
optimal control
adjoint variable
state constraint
Stieltjes measure
singular arc
boundary arc - Opis:
- This paper provides an analysis of the time optimal control problem for a material point moving along a straight line in the presence of strength of resistance to movement (friction) and subject to constraint on the velocity. The point is controlled by a limited traction or braking force. The analysis of the problem is based on the maximum principle for state constraints in the Dubovitskii-Milyutin form, see Dubovitskii and Milyutin (1965), and the necessary second-order optimality condition for bang-bang controls, see Milyutin and Osmolovskii (1998).
- Źródło:
-
Control and Cybernetics; 2017, 46, 4; 305-324
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł