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Problemy Upravleniya, 2013, Issue 6, Pages 2–14 (Mi pu816)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical problems in management

Algebra icapproac to control

N. N. Nepejvoda

Program Systems Institute of RAS, Pereslavl'-Zalesskii
Full-text PDF (981 kB) Citations (2)
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Abstract: Algebraic structures generated by modeling programs are theoretically studied. The main new notion here is GAPS (General Algebraic Program System). Examples are given how to represent control systems as GAPS. Open problems: algebras of almost invertible processes; discretization and approximation of abstract infinite algebras by finite GAPS; classification of finite GAPS and methods of their composition and decomposition.
Keywords: algebraic programming, magmas, control systems, supercomputers, Landauer limit, Chaitin limit.
Document Type: Article
UDC: 519.681.2+512.579+004.942
Language: Russian
Citation: N. N. Nepejvoda, “Algebra icapproac to control”, Probl. Upr., 2013, no. 6, 2–14
Citation in format AMSBIB
\Bibitem{Nep13}
\by N.~N.~Nepejvoda
\paper Algebra icapproac to control
\jour Probl. Upr.
\yr 2013
\issue 6
\pages 2--14
\mathnet{http://mi.mathnet.ru/pu816}
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  • https://www.mathnet.ru/eng/pu816
  • https://www.mathnet.ru/eng/pu/v6/p2
    • This publication is cited in the following 2 articles:
    1. A. A. Demidov, “O popolnenii gruppoida do programmnoi algebry”, Programmnye sistemy: teoriya i prilozheniya, 6:3 (2015), 45–52  mathnet
    2. N. N. Nepeivoda, I. N. Grigorevskii, E. P. Lilitko, “O predstavlenii deistvitelnykh chisel”, Programmnye sistemy: teoriya i prilozheniya, 5:4 (2014), 105–121  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :181
    References:83
    First page:35
     
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