Asymptotic minimization of the full moment of control actions (Q1569264)

In this paper, an algorithm of the asymptotic solution to the problem of the minimization of the full moment of piecewise continuous control actions taking rather large absolute values is considered that convert the linear dynamical system from one assigned state to another. The algorithm is based on the solution to the problem of the total moment minimization in the class of \(\delta\)-functions. This approach is illustrated by the problem of optimal control of the motion of a point mass.