Applying Support Functions to Solve a Problem of Fast-Acting Discrete Linear Systems with a Convex Set of Controls

The problem of the speed of a discrete linear nonstationary system of variable dimension, whose sets of admissible control values are convex compacts, is considered. It is assumed that the support functions of these sets are specified. At the first stage of solving the problem, the minimum time to reach the specified final state is found, and at the second stage, the control that brings the system to this final state in the found time is constructed. In the algorithm for solving the problem, only the specified support functions are used.