Geodesic
On a~generalization of one game control problem in the class of finitely additive measures
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 86-102

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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.
Mots-clés : maximin
Keywords: finitely additive measure, directionality, generalized control. 
@article{IVM_2010_7_a7,
     author = {A. G. Chentsov and Yu. V. Shapar'},
     title = {On a~generalization of one game control problem in the class of finitely additive measures},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--102},
     publisher = {mathdoc},
     number = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_7_a7/}
}
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A. G. Chentsov; Yu. V. Shapar'. On a~generalization of one game control problem in the class of finitely additive measures. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 86-102. http://geodesic.mathdoc.fr/item/IVM_2010_7_a7/