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 20–23 (Mi into157)  
This article is cited in 1 scientific paper (total in 1 paper)

Discretization procedure for linear dynamical systems

ab, A. F. Shorikovca

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b JSC ``Scientific and Production Association of automatics named after academician N. A. Semikhatov''
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (249 kB) Citations (1)
Abstract: We describe in detail a method of construction of a discrete linear dynamical model of a controllable object in the recurrent Cauchy form corresponding to an initial continuous dynamical system. We describe discretization algorithms for free and forced motion of a linear continuous dynamical system and propose methods of construction of the state, control, and perturbation transition matrices.
Keywords: discretization of a linear dynamical system, model of perturbed motion, Cauchy formula.
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 664–667
DOI: https://doi.org/10.1007/s10958-018-3765-5
Bibliographic databases:
Document Type: Article
UDC: 519.6
MSC: 34A30, 93C55
Language: Russian
Citation: , A. F. Shorikov, “Discretization procedure for linear dynamical systems”, 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, 20–23; J. Math. Sci. (N. Y.), 230:5 (2018), 664–667
Citation in format AMSBIB
\Bibitem{Sho17}
\by , A.~F.~Shorikov
\paper Discretization procedure for linear dynamical systems
\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 20--23
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into157}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801377}
\zmath{https://zbmath.org/?q=an:1393.34065}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 664--667
\crossref{https://doi.org/10.1007/s10958-018-3765-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044458549}
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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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