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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 2, Pages 257–285
DOI: https://doi.org/10.7868/S0044466914020021 (Mi zvmmf9991) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Terminal control of boundary models

A. S. Antipin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (385 kB) Citations (18)
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DOI: https://doi.org/10.7868/S0044466914020021
Abstract: A terminal optimal control problem for finite-dimensional static boundary models is formulated. The finite-dimensional models determine the initial and terminal states of the plant. The choice of an optimal control drives the plant from one state to another. A saddle-point method is proposed for solving this problem. The convergence of the method in a Hilbert space is proved.
Key words: terminal control, boundary value problems, primal and dual Lagrangians, saddle-point methods, convergence.
Received: 10.09.2013
Revised: 06.10.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 2, Pages 275–302
DOI: https://doi.org/10.1134/S096554251402002X
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. S. Antipin, “Terminal control of boundary models”, Zh. Vychisl. Mat. Mat. Fiz., 54:2 (2014), 257–285; Comput. Math. Math. Phys., 54:2 (2014), 275–302
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:498
    Full-text PDF :145
    References:85
    First page:9
     
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