ArticleOriginal scientific text
Title
A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure
Authors 1, 2
Affiliations
- Russian Academy of Sciences, Central Economics and Mathematics Institute, Russia, Moscow, Nakhimovskii prospekt, 47
- Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Russia, Moscow, Leninskiye Gory, MSU
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
optimal control problem, Pontryagin Maximum Principle, extremals, singular arcs
Bibliography
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- C. Ponssard, K. Graichen, N. Petit and J. Laurent-Varin, Ascent optimization for a heavy space launcher, Proceedings of the European Control Conference 2009, Budapest, Hungary (2009) 3033-3038.
Pages:
135-147
Main language of publication
English
Received
2013-03-20
Published
2013
DOI: 10.7151/dmdico1148
Exact and natural sciences