Researcher, Institute of Artificial Intelligence, Moscow,
Control theory: The covering method for solving terminal control problems is formulated and justified. A design of covering for flat systems is proposed. The possibilities of using a flat output replacement to solve the point-to-point control problems with the constraints are investigated. The use of mirror symmetries of differential equations to reduce the number of conditions of a boundary problem is investigated. The use of decompositions of point-to-point control problems for control problems with constraints of complex geometric shape is investigated. A control method based on the flatness of the model is obtained, which ensures following along a previously constructed path in the environment with dynamic obstacles.