An algorithm for numerical synthesis of optimal control

An algorithm for optimization of goal point-to-point control in a differential system with phase constraints that is based on the results of construction and estimation of sets of attainability (solvability) of the system is represented. Algorithms for the methods of supporting hyperplanes and sections for constructing the indicated sets are given. The efficiency of software-algorithmic implementation of the methods is confirmed by examples. The developed software technology oriented on multiprocessor systems is closely connected with the applied problems under study.