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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 3, Pages 409–420
DOI: https://doi.org/10.7868/S0044466916030182 (Mi zvmmf10366) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a class of optimal control problems with distributed and lumped parameters

R. A. Teymurov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, ul. B. Vahabzadeh 9, Baku, AZ1141, Azerbaijan
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DOI: https://doi.org/10.7868/S0044466916030182
Abstract: The optimal control of moving sources governed by a parabolic equation and a system of ordinary differential equations with initial and boundary conditions is considered. For this problem, an existence and uniqueness theorem is proved, sufficient conditions for the Fréchet differentiability of the cost functional are established, an expression for its gradient is derived, and necessary optimality conditions in the form of pointwise and integral maximum principles are obtained.
Key words: moving sources, integral identity, maximum principle, Hamilton–Pontryagin function, necessary optimality conditions, control problem for a parabolic equation.
Received: 05.05.2015
Revised: 27.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 3, Pages 396–406
DOI: https://doi.org/10.1134/S0965542516030167
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: R. A. Teymurov, “On a class of optimal control problems with distributed and lumped parameters”, Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016), 409–420; Comput. Math. Math. Phys., 56:3 (2016), 396–406
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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