optimal control problem

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

    The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle

  • Andrei V. Dmitruk
  • Alexander Kaganovich
    • Categories Constrained Nonlinear Optimization, Systems governed by Differential Equations Optimization Tags , , , , ,

    We give a simple proof of the Maximum Principle for smooth hybrid control systems by reducing the hybrid problem to an optimal control problem of Pontryagin type and then by using the classical Pontryagin Maximum Principle. Citation A.V. Dmitruk, A.M. Kaganovich. The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle, Systems & Control … Read more