STOCHASTIC DIFFERENTIAL GAME OF RAPPROCHEMENT-DEVIATION FOR SEVERAL TARGET SETS IN HOMOGENEOUS CENTRAL FIELD

Abstract

The differential game of rapprochement-deviation for several target sets is considered with the collection of stochastic and partially programmable strategies in the homogeneous central field, when the game takes place in thin spherical stratums. The strategies of players are formed on the basis of random variables that appear in the process of measurements of the position. The strategies of the first and second players are constructed in an exact form. The bound for the distance between the true phase state of the system and the guide is obtained for every time moment.