A. G. Chentsov
Russia, 620219, Ekaterinburg, S.Kovalevskaja street, 16
Institute of Mathematics and Mechanics
Ural branch of the Russian Academy of Sciences
K. V. Korlyakov
Russia, 620083, Ekaterinburg, Lenina street, 51
Ural State University
kkorlyakov@microtest.ru
An example of the employment of the programmed iteration method for constructing a set-valued quasistrategy in the control problem with an indeterminate hindrance is considered. On the basis of an iterated procedure (in a space of sets) realizing the stable bridge of N.N.Krasovskii, it is established that, for constructing the set-valued quasistrategy guaranteeing the approach system of trajectories at the goal set, the infinite number of iterations on a space of multifunctions is required; some representations having the duality sense of the different (direct and indirect) versions of the programmed iteration method is used.