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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 1, Pages 18–25 (Mi vyurm44)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

A boundary layer method for the construction of approximate attainability sets of control systems

A. A. Zimovets

Information Technology Department, Ural Federal University
Full-text PDF (535 kB) Citations (2)
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Abstract: A boundary layer method for the construction of approximate attainability sets of dynamical sys­ tems in the n-dimensional Euclidean space with phase constraints is given. This method belongs to the group of grid methods and it is based on the approach when only the points of a boundary layer are used in an iterative process but not the points of a constructed set. This method allows us to speed up the calculations by reducing the number of calculating points in traditional grid methods.
Keywords: control system, differential inclusion, attainability set, grid-based method.
Received: 04.10.2012
Document Type: Article
UDC: 517.977.58
Language: Russian
Citation: A. A. Zimovets, “A boundary layer method for the construction of approximate attainability sets of control systems”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013), 18–25
Citation in format AMSBIB
\Bibitem{Zim13}
\by A.~A.~Zimovets
\paper A boundary layer method for the construction of approximate attainability sets of control systems
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 1
\pages 18--25
\mathnet{http://mi.mathnet.ru/vyurm44}
Linking options:
  • https://www.mathnet.ru/eng/vyurm44
  • https://www.mathnet.ru/eng/vyurm/v5/i1/p18
    • This publication is cited in the following 2 articles:
    1. D. R. Kuvshinov, S. I. Osipov, “Numerical construction of Stackelberg solutions in a linear positional differential game based on the method of polyhedra”, Autom. Remote Control, 79:3 (2018), 479–491  mathnet  crossref  isi  elib
    2. A. A. Zimovets, A. R. Matviichuk, “Parallelnyi algoritm priblizhennogo postroeniya mnozhestv dostizhimosti nelineinykh upravlyaemykh sistem”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:4 (2015), 459–472  mathnet  elib
    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 :107
    References:84
     
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