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Avtomatika i Telemekhanika, 1984, Issue 4, Pages 48–59 (Mi at4661)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

A suboptimal finite-dimensional controller for a distributed process. I

A. A. Pervozvanskii, N. V. Solonina

Leningrad
Full-text PDF (1470 kB) Citations (1)
Abstract: The paper is concerned with design of a finite-dimensional suboptimal controller for a distributed process which is described as a parabolic boundary-value problem. The proposed finite-dimensional approximations are shown to converge to control optimal in terms of a quadratic criterion as the controller dimension increases. The error of a subontimal controller of fixed dimension is given in terms of a quadratic functional which is computed for paths of a distributed process.

Received: 06.04.1982
Bibliographic databases:
Document Type: Article
UDC: 62-505.5
Language: Russian
Citation: A. A. Pervozvanskii, N. V. Solonina, “A suboptimal finite-dimensional controller for a distributed process. I”, Avtomat. i Telemekh., 1984, no. 4, 48–59; Autom. Remote Control, 45:4 (1984), 453–462
Citation in format AMSBIB
\Bibitem{PerSol84}
\by A.~A.~Pervozvanskii, N.~V.~Solonina
\paper A suboptimal finite-dimensional controller for a distributed process.~I
\jour Avtomat. i Telemekh.
\yr 1984
\issue 4
\pages 48--59
\mathnet{http://mi.mathnet.ru/at4661}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=765949}
\zmath{https://zbmath.org/?q=an:0572.93041}
\transl
\jour Autom. Remote Control
\yr 1984
\vol 45
\issue 4
\pages 453--462
Linking options:
  • https://www.mathnet.ru/eng/at4661
  • https://www.mathnet.ru/eng/at/y1984/i4/p48
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    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:109
    Full-text PDF :58
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