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Avtomatika i Telemekhanika, 2007, Issue 12, Pages 3–20 (Mi at1088)  

This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

Optimal control of the delay linear systems with allowance for the terminal state constraints

R. Gabasova, O. P. Grushevicha, F. M. Kirillovab

a Belarusian State University
b Institute of Mathematics, Belarussian National Academy of Sciences, Minsk, Belarus
Full-text PDF (368 kB) Citations (3)
References:
Abstract: Consideration was given to the linear problem of optimal control of one type of the delay systems where the delay appears in one equation of the system mathematical model. The terminal states of the system are bounded, the optimal control is realized by the discrete control actions obeying the geometrical constraints. Consideration was given to two types of solutions – program and positional. A dual method of calculation of the optimal programs was presented. Described was an algorithm of the optimal controller generating in real time the current values of the positional solution (optimal feedback). The results obtained were illustrated by the example of control of a system with the fourth-order delay.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 13.06.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 12, Pages 2097–2112
DOI: https://doi.org/10.1134/S0005117907120016
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy, 07.05.Dz
Language: Russian
Citation: R. Gabasov, O. P. Grushevich, F. M. Kirillova, “Optimal control of the delay linear systems with allowance for the terminal state constraints”, Avtomat. i Telemekh., 2007, no. 12, 3–20; Autom. Remote Control, 68:12 (2007), 2097–2112
Citation in format AMSBIB
\Bibitem{GabGruKir07}
\by R.~Gabasov, O.~P.~Grushevich, F.~M.~Kirillova
\paper Optimal control of the delay linear systems with allowance for the terminal state constraints
\jour Avtomat. i Telemekh.
\yr 2007
\issue 12
\pages 3--20
\mathnet{http://mi.mathnet.ru/at1088}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2406131}
\zmath{https://zbmath.org/?q=an:1154.49023}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 12
\pages 2097--2112
\crossref{https://doi.org/10.1134/S0005117907120016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349153856}
Linking options:
  • https://www.mathnet.ru/eng/at1088
  • https://www.mathnet.ru/eng/at/y2007/i12/p3
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:471
    Full-text PDF :173
    References:95
    First page:1
     
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