ИСТИНА

An optimal control problem on a fixed time segment is considered. For each control there is a unique phase trajectory defined on th segment.Three points are selected on this time segment: two end points and one intermediate point. The left end of the segment is fixed. The intermediate point and the right-hand end are associated with linear programming problems. In the formulation of the problem, it is required to draw a phase trajectory by choosing a control, so that the trajectory, starting from the fixed left end, passes through the intermediate one and reaches the right end point of the time interval. It is required that the values ofthe trajectory at these points coincide with the optimal solutions of the intermediate and boundary value problems of linear programming. To solve the problem, a mathematically evidential and substantiated iterative computational process is proposed. The convergence of the method is proved in all components of problem solution. Only evidence-based computing technologies transform mathematical models into tools for making guaranteed decisions. Organizers: The Montenegrin Academy of Sciences and Arts Federal Research Center "Computer Science and Control" of the Russian Academy of Science Lomonosov Moscow State University Moscow Institute of Physics and Technology University of Montenegro University of Evora (Portugal) Institute of Information and Computational Technologies (Kazakhstan)