DocumentCode
634973
Title
On a trolley-like problem in the presence of a nonlinear friction and a bounded fuel expenditure
Author
Dmitruk, Andrei ; Samylovskiy, Ivan
Author_Institution
Central Econ. & Math. Inst., Moscow, Russia
fYear
2013
fDate
23-26 June 2013
Firstpage
1
Lastpage
6
Abstract
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.
Keywords
friction; maximum principle; trolleys; bounded fuel expenditure; bounded thrust; maximum principle; nonlinear friction; optimal control; trolley-like problem; Equations; Friction; Fuels; Mathematical model; Optimal control; Trajectory; Vehicles;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ASCC), 2013 9th Asian
Conference_Location
Istanbul
Print_ISBN
978-1-4673-5767-8
Type
conf
DOI
10.1109/ASCC.2013.6606007
Filename
6606007
Link To Document