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Avtomatika i Telemekhanika, 2014, Issue 7, Pages 155–174 (Mi at12415)  
Topical issue

On extension of the maximin problem

A. G. Chentsovab, Yu. V. Shapar'ab

a Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Yekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
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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.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 16.11.2013
English version:
Automation and Remote Control, 2014, Volume 75, Issue 7, Pages 1283–1300
DOI: https://doi.org/10.1134/S0005117914070091
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Chentsov, Yu. V. Shapar', “On extension of the maximin problem”, Avtomat. i Telemekh., 2014, no. 7, 155–174; Autom. Remote Control, 75:7 (2014), 1283–1300
Citation in format AMSBIB
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\paper On extension of the maximin problem
\jour Avtomat. i Telemekh.
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\issue 7
\pages 155--174
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\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 7
\pages 1283--1300
\crossref{https://doi.org/10.1134/S0005117914070091}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904423528}
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