Journal of Theoretical
and Applied Mechanics

29, 1, pp. 153-160, Warsaw 1991

Rozwiązanie zadania o brachistochronie metodą maksimum Pontriagina

Stanisław Dubiel, Andrzej Homziuk

The solution of the brachistochrone problem discussed in the paper by the maximum principle constitutes a singular solution in a more general solution of the control problem. The solution to the problem has been obtained in cartesian coordinates. For the sake of control along brachistochrone the normal component of acceleration has been determined.