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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 10, Pages 1695–1705
DOI: https://doi.org/10.1134/S0044466919100077 (Mi zvmmf10966) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Open-loop control of a plant described by a system with nonsmooth right-hand side

A. V. Fominykh

St. Petersburg State University, St. Petersburg, 199034 Russia
Citations (9)
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DOI: https://doi.org/10.1134/S0044466919100077
Abstract: Open-loop control of a plant governed by a system of differential equations in normal form is studied. The right-hand side of this system includes nonsmooth terms. The original problem is reduced to the unconstrained minimization of a nonsmooth functional. Necessary and sufficient minimum conditions in terms of subdifferential are found. Based on these conditions, the subdifferential descent method is used to solve the problem. The proposed approach is illustrated by numerical examples.
Key words: open-loop control, nonsmooth right-hand side, nonsmooth functional, variational problem, subdifferential descent method.
Funding agency Grant number
Russian Science Foundation 18-71-00006
This work was supported by the Russian Science Foundation, project no. 18-71-00006.
Received: 29.04.2019
Revised: 29.04.2019
Accepted: 10.06.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 10, Pages 1639–1648
DOI: https://doi.org/10.1134/S0965542519100075
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
Language: Russian
Citation: A. V. Fominykh, “Open-loop control of a plant described by a system with nonsmooth right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1695–1705; Comput. Math. Math. Phys., 59:10 (2019), 1639–1648
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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