Abstract:
The paper deals with the game problem of approach for a conflict-controlled system in a finite-dimensional Euclidean space at a fixed moment of time. The problem of approximate calculation of the solvability sets is studied for the considered approach game. An approach is proposed for approximate calculation of solvability sets on the basis of a unification model, which supplements the unification method of N.N. Krasovskii in the theory of differential games.
Keywords:control, conflict-controlled system, game problem of approach, solvability set, minimax $u$-stable bridge, minimax $u$-stable path, target set, differential inclusion.
