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Algebra i Analiz, 2022, Volume 34, Issue 3, Pages 115–130 (Mi aa1811)  
Research Papers

Summation method in optimal control problem with delay

P. Barkhayevab, Yu. Belovc, Yu. Lyubarskiĭb

a Institute for Low Temperature Physics and Engineering, 47 Nauki ave, 61103 Kharkiv, Ukraine
b Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
c St. Petersburg State University, St. Petersburg, Russia
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Abstract: A summation procedure is described for the construction of the optimal solution in the null controllability problem for a differential equation with distributed delay.
Keywords: delay differential equation, null controllability, exponential system, summation method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2021-602
Research Council of Norway 27511
The work of P. Barkhayev and Yu. Lyubarskiǐ was supported by Norwegian Research Council project №275113, “COMAN”. The work of Yu. Belov was supported by a grant of the Goverment of the Russian Federation for the state support of scientific research, carried under the supervision of leading scientists, agreement 075-15-2021-602.
Received: 15.12.2021
English version:
St. Petersburg Mathematical Journal, 2023, Volume 34, Issue 3, Pages 393–404
DOI: https://doi.org/10.1090/spmj/1759
Document Type: Article
Language: English
Citation: P. Barkhayev, Yu. Belov, Yu. Lyubarskiǐ, “Summation method in optimal control problem with delay”, Algebra i Analiz, 34:3 (2022), 115–130; St. Petersburg Math. J., 34:3 (2023), 393–404
Citation in format AMSBIB
\Bibitem{BarBelLyu22}
\by P.~Barkhayev, Yu.~Belov, Yu.~Lyubarski{\v\i}
\paper Summation method in optimal control problem with delay
\jour Algebra i Analiz
\yr 2022
\vol 34
\issue 3
\pages 115--130
\mathnet{http://mi.mathnet.ru/aa1811}
\transl
\jour St. Petersburg Math. J.
\yr 2023
\vol 34
\issue 3
\pages 393--404
\crossref{https://doi.org/10.1090/spmj/1759}
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