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A SIMPLE TROLLEY-LIKE MODEL IN THE PRESENCE OF A NONLINEAR FRICTION AND A BOUNDED FUEL EXPENDITURE

Andrei Dmitruk(dmitruk***at***member.ams.org)
Ivan Samylovskiy(barbudo.sam***at***cs.msu.su)

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

Category 1: Applications -- Science and Engineering (Mechanical Engineering )

Category 2: Nonlinear Optimization (Systems governed by Differential Equations Optimization )

Citation:

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Entry Submitted: 04/19/2013
Entry Accepted: 04/19/2013
Entry Last Modified: 04/19/2013

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