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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 7, Pages 86–102 (Mi ivm7111)  
On a generalization of one game control problem in the class of finitely additive measures

A. G. Chentsov, Yu. V. Shapar'

Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
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Abstract: We consider a terminal game control problem for a linear system with discontinuous coefficients under impulse controls and constraints. We construct a generalized game control problem in the class of finitely additive measures with the property of the weak absolute continuity with respect to the restriction of the Lebesgue measure to some “sufficient” measurable structure.
Keywords: maximin, finitely additive measure, directionality, generalized control.
Received: 23.06.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 7, Pages 75–90
DOI: https://doi.org/10.3103/S1066369X1007008X
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. G. Chentsov, Yu. V. Shapar', “On a generalization of one game control problem in the class of finitely additive measures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 7, 86–102; Russian Math. (Iz. VUZ), 54:7 (2010), 75–90
Citation in format AMSBIB
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\by A.~G.~Chentsov, Yu.~V.~Shapar'
\paper On a~generalization of one game control problem in the class of finitely additive measures
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 7
\pages 86--102
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752696}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 7
\pages 75--90
\crossref{https://doi.org/10.3103/S1066369X1007008X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649533256}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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