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On extension of the maximin problem

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Abstract

Consideration was given to an abstract version of the program maximin problem with constraints of the pulse and moment nature. The “moment” constraints were relaxed, and the asymptotics of the realized values of maximin in the problems with relaxed constraints was studied together with its representation in the class of generalized elements (controls) defined as finite-additive measures. In particular, the questions of universal “within the given range” representation of the above asymptotics were investigated.

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Correspondence to A. G. Chentsov.

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Original Russian Text © A.G. Chentsov, Yu.V. Shapar’, 2014, published in Avtomatika i Telemekhanika, 2014, No. 7, pp. 155–174.

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Chentsov, A.G., Shapar’, Y.V. On extension of the maximin problem. Autom Remote Control 75, 1283–1300 (2014). https://doi.org/10.1134/S0005117914070091

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