Geodesic
To the question about stability of attainability domain in abstract problem with constraints of the moment character
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 205-212
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The questions of the approximate validity of constraints in the abstract control problems with moment constraints are considered. The property of attainability domain having the sense of stability to within the closure is investigated. With employment of extension in the class of finitely additive measures, the conditions sufficient for the realization of the above-mentioned property are established.
Keywords: finitely additive measure, attraction set, topology. 
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A. G. Chentsov. To the question about stability of attainability domain in abstract problem with constraints of the moment character. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 205-212. http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a23/

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