Ignatenko O. Linear game problems of moving objects control.

The dissertation examines important problems of conflict-controlled processes theory. For the pursuing game with two conflict persons method of proportional navigation was formulated and grounded. Relation with method of resolving functions and rule is shown. It is proved, that pursuer can end game using this method. For the positional pursuit problem conditions that provide e - catch for finite time was found. For problem of interaction of two groups of controlled objects for n = 3 it was verified that in game in n-dimensional Euclidian space with simple moving of players in case of 2n pursuers and two evaders at least one evader avoids catching.