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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 291, Pages 112–127
DOI: https://doi.org/10.1134/S037196851504010X (Mi tm3663) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Approximate solution to a time optimal boundary control problem for the wave equation

D. A. Ivanov, M. M. Potapov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (267 kB) Citations (3)
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DOI: https://doi.org/10.1134/S037196851504010X
Abstract: Time optimal problems with two-sided boundary controls for the wave equation are considered in classes of strong generalized solutions. Various combinations of boundary conditions of the first, second, and third kinds are admitted in the statement. A noise-immune algorithm is proposed for the approximate calculation of the optimal time and the corresponding boundary controls. The approximate solutions are shown to converge under asymptotic refinement of the parameters of finite-dimensional approximation and a decrease in the error level in the definition of target functions.
Received: February 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 291, Pages 102–117
DOI: https://doi.org/10.1134/S0081543815080106
Bibliographic databases:
Document Type: Article
UDC: 517.956.37
Language: Russian
Citation: D. A. Ivanov, M. M. Potapov, “Approximate solution to a time optimal boundary control problem for the wave equation”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 112–127; Proc. Steklov Inst. Math., 291 (2015), 102–117
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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