On procedures for constructing solutions in differential games on a finite interval of time

Many problems of conflict-control theory can be reduced to approach-avoidance games with a certain terminal set. One of the main approaches to solution of such problems is the approach suggested by N. N. Krasovskii, which is based on positional constructions. The basis of these constructions consists of the extremal aiming principle at stable bridges. In this connection, the problem of constructing the maximal stable bridge, the set of all...