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Differential equations

The guaranteed result in the problem of distance minimization with integral constraint

S. R. Aleeva

Chelyabinsk State University

Abstract: The same game in which the first player has integral constraint on control, and the second one has geometrical constraint, is considered. The purpose of the first player is to minimize the distance between the players at a fixed time $p$ with a limited stock of the resource, the goal of the second one is opposite. The players' controls to guarantee the fulfillment of purpose are constructed.

Keywords: differential games, integral constraint on the control of the player, guaranteed result.