On one algorithm for solution to the control problem using sets of guides

摘要

The problem of bringing control system in space R~n to a target set at a given time moment is considered in the paper. System's behavior is described by the system of differential equations on which standard conditions of existence, uniqueness and extendability of a solution of the system are implied for a given time period. The 2-stage method is proposed for finding approximate solution. Sets of solvability in a discrete model are constructed on the first stage. On the second stage procedure of constructing the solving control takes place. This procedure utilizes the points of constructed sets as guides. Program complex based on proposed method was implemented in order to provide numerical experiments using computers. The article contains the results of one of these experiments.