A Simple Trolley-like Model in the Presence of a Nonlinear Friction and a Bounded Fuel Expenditure
نویسندگان
چکیده
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.
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