Quote
Lenze, Burkhard 1989. On the explicit solution of a time-optimal control problem by means of one-sided spline approximation. Journal of Approximation Theory 56, 3, 297-305.
Content
In [Israel J. Math. 10 (1971), 261-274] Schoenberg gives the explicit solution of a time-optimal control problem using the extremal properties of the so-called perfect B-splines. In this paper we consider a modification of Schoenberg's problem by taking into account the inertia of the moving particle. We give an explicit solution of the modified problem by means of one-sided spline approximations based on perfect B-splines.