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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 5, Pages 747–767
DOI: https://doi.org/10.7868/S0044466917050088 (Mi zvmmf10568) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the theory of singular optimal controls in dynamic systems with control delay

M. D. Mardanova, T. K. Melikovba

a Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
b Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
Full-text PDF (390 kB) Citations (8)
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DOI: https://doi.org/10.7868/S0044466917050088
Abstract: An optimal control problem with a control delay is considered, and a more broad class of singular (in classical sense) controls is investigated. Various sequences of necessary conditions for the optimality of singular controls in recurrent form are obtained. These optimality conditions include analogues of the Kelley, Kopp–Moyer, R. Gabasov, and equality-type conditions. In the proof of the main results, the variation of the control is defined using Legendre polynomials.
Key words: singular control, optimal control, variation transformation method, Legendre polynomial, necessary optimality conditions.
Received: 03.03.2016
Revised: 11.07.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 5, Pages 749–769
DOI: https://doi.org/10.1134/S0965542517050086
Bibliographic databases:
Document Type: Article
UDC: 517.977.52
Language: Russian
Citation: M. D. Mardanov, T. K. Melikov, “On the theory of singular optimal controls in dynamic systems with control delay”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 747–767; Comput. Math. Math. Phys., 57:5 (2017), 749–769
Citation in format AMSBIB
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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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