Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 153–156 (Mi into187)  
This article is cited in 1 scientific paper (total in 1 paper)

Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system

A. F. Shorikovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (255 kB) Citations (1)
Abstract: We consider a discrete dynamical system consisting of a number of controllable objects whose dynamics is governed by vector nonlinear discrete recurrent relations with control parameters and perturbations (noises). In such system, two levels of making of management decisions are distinguished: the dominating (first) level and the subordinate (second) level, which have different criteria of functioning. These levels are integrated by certain information and control relations. We consider the problem of two-level minimax program terminal control in a discrete dynamical system and propose its mathematical statement and a general scheme of its solution.
Keywords: hierarchic discrete dynamical system, minimax program terminal control.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-02368_à
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 808–812
DOI: https://doi.org/10.1007/s10958-018-3795-z
Bibliographic databases:
Document Type: Article
UDC: 519.83
MSC: 37N35, 37N40, 91A50, 91A65
Language: Russian
Citation: A. F. Shorikov, “Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 153–156; J. Math. Sci. (N. Y.), 230:5 (2018), 808–812
Citation in format AMSBIB
\Bibitem{Sho17}
\by A.~F.~Shorikov
\paper Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 153--156
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801407}
\zmath{https://zbmath.org/?q=an:1391.37063}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 808--812
\crossref{https://doi.org/10.1007/s10958-018-3795-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044347791}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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