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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 150–162
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-150-162 (Mi timm1301) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the control of a nonlinear dynamic system in a time-optimal problem with state constraints

I. N. Kandobaab, I. V. Koz'minab

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 (230 kB) Citations (2)
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DOI: https://doi.org/10.21538/0134-4889-2016-22-2-150-162
Abstract: An optimal control problem for a nonlinear dynamic system is studied. The required control must satisfy given constraints and provide the fulfilment of a number of conditions on the current state of the system. For the construction of admissible controls in this problem, we propose an approach based on the ideas of solution of control problems with a guide. The results of numerical simulation are presented.
Keywords: dynamic system, state constraints, admissible control, guide, accompanying positions.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Ural Branch of the Russian Academy of Sciences 15-16-1-14
Received: 29.02.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 75–87
DOI: https://doi.org/10.1134/S0081543817090103
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
MSC: 49J15, 93C95
Language: Russian
Citation: I. N. Kandoba, I. V. Koz'min, “On the control of a nonlinear dynamic system in a time-optimal problem with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 150–162; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 75–87
Citation in format AMSBIB
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\by I.~N.~Kandoba, I.~V.~Koz'min
\paper On the control of a nonlinear dynamic system in a time-optimal problem with state constraints
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 22
\issue 2
\pages 150--162
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\crossref{https://doi.org/10.21538/0134-4889-2016-22-2-150-162}
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
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\issue , suppl. 1
\pages 75--87
\crossref{https://doi.org/10.1134/S0081543817090103}
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Linking options:
  • https://www.mathnet.ru/eng/timm1301
  • https://www.mathnet.ru/eng/timm/v22/i2/p150
    • This publication is cited in the following 2 articles:
    1. I. N. Kandoba, I. V. Kozmin, D. A. Novikov, “Chislennoe issledovanie odnoi nelineinoi zadachi bystrodeistviya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:4 (2018), 429–444  mathnet  crossref  elib
    2. I. N. Kandoba, I. V. Koz'min, D. A. Novikov, “Admissible controls in a nonlinear time-optimal problem with phase constraints”, IFAC-PapersOnLine, 51:32 (2018), 251–255  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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