Abstract
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 having a mechanicalsense in which singular subarcs appear in a nontrivial way.Keywords: optimal control problem, Pontryagin Maximum Principle,extremals, singular arcs.2010 Mathematics Subject Classification: 49K15, 49N90.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
