Abstract
The solution of the optimal control problem in the classical formulation is control in the form of a function of time. The implementation of such a solution leads to an open control system and therefore cannot be applied directly in practice. It is believed that solving the classical optimal control problem leads to an optimal control program and program trajectory in state space. To implement the movement of the control object along the program trajectory, it is necessary to build an additional movement stabilization system. The problem of synthesizing a system for stabilizing movement along a program trajectory and the requirements that this system should meet do not arise from the classical setting of the optimal control problem. An updated statement of the optimal control problem is given, which includes an additional requirement for an optimal trajectory, and the solution of which can be directly applied in practice in a real control object.
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