Open AccessOn solving optimal control problems by means of splines
Author(s) -
V. V. Gusar,
А. А. Лигун
Publication year - 1987
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/248703
Subject(s) - piecewise , spline (mechanical) , discontinuity (linguistics) , mathematics , mathematical optimization , optimal control , box spline , base (topology) , spline interpolation , mathematical analysis , engineering , statistics , structural engineering , bilinear interpolation
We consider spline-methods of solving problems, in which piecewise-smooth functions can be the sought solution. We provide and ground the algorithm of approximation of piecewise-smooth functions by splines with automatic search for points of discontinuity of the function and its derivatives. On the base of this algorithm, we describe methods to determine the spline-solution for some optimal control problems.