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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 10, Pages 1748–1779 (Mi zvmmf94)  
This article is cited in 7 scientific papers (total in 7 papers)

Constructing open-loop and closed-loop solutions of linear-quadratic optimal control problems

R. Gabasova, F. M. Kirillovab, N. S. Pavlenoka

a Belarussian State University, pr. Nezavisimosti 4, Minsk, 220030, Belarus
b Institute of Mathematics, Belarussian Academy of Sciences, ul. Surganova 11, Minsk, 220072, Belarus
Full-text PDF (3593 kB) Citations (7)
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Abstract: A linear-quadratic optimal control problem subject to geometric constraints on the controls is studied. Techniques for finding the optimal open-loop control and constructing a closed-loop control are described. The problem solution can include special intervals and sections with chattering modes. The proposed techniques make it possible to find special intervals and construct realizable approximations of unrealizable chattering modes to any degree of accuracy.
Key words: linear-quadratic optimal control problem, construction of optimal open-loop control, construction of closed-loop control, special modes, computational algorithm.
Received: 25.10.2006
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 10, Pages 1715–1745
DOI: https://doi.org/10.1134/S0965542508100023
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: R. Gabasov, F. M. Kirillova, N. S. Pavlenok, “Constructing open-loop and closed-loop solutions of linear-quadratic optimal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008), 1748–1779; Comput. Math. Math. Phys., 48:10 (2008), 1715–1745
Citation in format AMSBIB
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    • This publication is cited in the following 7 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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    Full-text PDF :132
    References:57
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