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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 3, Pages 139–157 (Mi timm412)  
This article is cited in 19 scientific papers (total in 19 papers)

Idealized program packages and problems of positional control with incomplete information

A. V. Kryazhimskiya, Yu. S. Osipov

a Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (268 kB) Citations (19)
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Abstract: The paper is devoted to developing the method of program packages as a tool for investigating problems of positional control with incomplete information. The method is embedded in the field of guaranteed control theory and was stipulated by a number of constructions from this theory. Under the assumption that an a priori given set of initial positions of a controlled system is finite, it is established that the solvability of a guaranteed guidance problem in the class of program packages (or, the same, in the class of positional strategies) is equivalent to the solvability of this problem in the class of considerably simpler program operators, namely, in the class of idealized program packages.
Keywords: problem of package guidance, idealized program package, controlled system.
Received: 06.07.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 268, Issue 1, Pages S155–S174
DOI: https://doi.org/10.1134/S0081543810050123
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: A. V. Kryazhimskiy, Yu. S. Osipov, “Idealized program packages and problems of positional control with incomplete information”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 3, 2009, 139–157; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S155–S174
Citation in format AMSBIB
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\paper Idealized program packages and problems of positional control with incomplete information
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 3
\pages 139--157
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 268
\issue , suppl. 1
\pages S155--S174
\crossref{https://doi.org/10.1134/S0081543810050123}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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