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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 151–158 (Mi timm704)  
This article is cited in 8 scientific papers (total in 8 papers)

Optimal boundary control by displacement at one end of a string under a given elastic force at the other end

E. I. Moiseevab, A. A. Kholomeevab

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences
b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (147 kB) Citations (8)
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Abstract: The problem of optimal boundary control by displacement at one end of a string in the presence of a specified force mode at the other end is studied in the sense of a generalized solution of the corresponding mixed initial- boundary value problem from a Sobolev space. The problem of choosing an optimal boundary control from the infinite number of admissible controls is solved. A generalized solution of the mixed initial-boundary value problem is constructed explicitly and the uniqueness of the solution is proved.
Keywords: optimal control, boundary control, hyperbolic equations, wave equation.
Received: 12.12.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 276, Issue 1, Pages S153–S160
DOI: https://doi.org/10.1134/S0081543812020125
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: E. I. Moiseev, A. A. Kholomeeva, “Optimal boundary control by displacement at one end of a string under a given elastic force at the other end”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 151–158; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S153–S160
Citation in format AMSBIB
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\paper Optimal boundary control by displacement at one end of a~string under a~given elastic force at the other end
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\issue 2
\pages 151--158
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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