Chentsov A. G
Institute of Mathematics and Mechanics
Ural branch of the Russian Academy of Sciences
Russia, 620219, Ekaterinburg, S.Kovalevskaja street, 16
Korlyakov K. V
Ural State University
Russia, 620083, Ekaterinburg, Lenina street, 51
A simple example of a control problem with a hindrance is considered. A direct version, in the sense of constructing control procedures (set-valued quasistrategy), of a well-known method of programmed iterations is examined, which was previously used for constructing of a differential game cost function and a stable bridge of N.N.Krasovskii. The singularity of the said example is opportunity of choosing the managed system parameters, so that constructing of the quasistrategy might be realized after execution of any, known in advance, number of iterations in the sense of the said direct version programmed iterations method.