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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2011 Volume 17, Number 1, Pages 251–258 (Mi timm687)
This article is cited in 7 papers

Single-type differential games with convex integral payoff

V. I. Ukhobotov, D. V. Gushchin

Chelyabinsk State University

Abstract: We consider single-type differential games. We study the problem of taking the phase point to a disk of a fixed radius at a given time. The payoff is the integral of a convex function depending on the norm of the first player's control.

Keywords: differential game, strategy, payoff.

UDC: 519.857

Received: 01.08.2010


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, 275, suppl. 1, S178–S185

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