singular arcs

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

  • Andrei V. Dmitruk
  • Ivan Samylovskiy
    • Categories Mechanical Engineering, Systems governed by Differential Equations Optimization Tags , , ,

    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 … Read more