# A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure

@article{Dmitruk2013AST, title={A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure}, author={Andrei V. Dmitruk and Ivan A. Samylovskiy}, journal={Discussiones Mathematicae. Differential Inclusions, Control and Optimization}, year={2013}, volume={33}, pages={135-147} }

Lomonosov Moscow State UniversityFaculty of Computational Mathematics and CyberneticsRussia, Moscow, Leninskiye Gory, MSUe-mail: barbudo.sam@cs.msu.suAbstractWe consider a problem of maximization of the distance traveled by amaterial point in the presence of a nonlinear friction under a bounded thrustand fuel expenditure. Using the maximum principle we obtain the form ofoptimal control and establish conditions under which it contains a singularsubarc. This problem seems to be the simplest one…

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