Abstract
A nonlinear conflict-controlled system is considered over a finite period of time and in a finite-dimensional Euclidean space. The problem of convergence with a compact target set at a fixed point in time is studied. Within the framework of the convergence problem, one of the key issues is investigated — the approximate construction of sets of solvability of the problem. An approach to approximate construction is discussed, the basis of which is a model that complements N.N. Krasovsky's unification method in the theory of differential games.
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