A method for purposeful replacement of optimizable functionality in the optimal control problems

In the paper we propose a method for finding the optimal management of a dynamic system, when restrictions are imposed on the management and phrasal variables at intermediate points of the trajectory. It is assumed that the initial and the final positions of a dynamic system are known, and some reference management is unknown, for which the trajectory satisfies the imposed constraints (at this the dynamic system is moved from the initial position to the final position). The formulated task is reduced to the sequence of individual tasks, whose solution methods are known, and the procedure of this reduction does not lead to the loss of solutions. In the paper the proposed method is called the “method of purposeful replacement of optimizable functionality”.