K. B. Mansimov, A. F. Mansimzade, “To the necessary optimality conditions in one two-stage control problem for integro-differential equations of Volterra type”, PFMT, 2024, no. 2(59), 84

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2024, Issue 2(59), Pages 84–89
DOI: https://doi.org/10.54341/20778708_2024_2_59_84 (Mi pfmt971)

MATHEMATICS

To the necessary optimality conditions in one two-stage control problem for integro-differential equations of Volterra type

K. B. Mansimov^ab, A. F. Mansimzade^a

^a Baku State University
^b Institute of Control Systems of the Ministry of Science and Education of Azerbaijan, Baku

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DOI: https://doi.org/10.54341/20778708_2024_2_59_84

Abstract: The paper considers one two-stage optimal control problem, described at different time intervals by various integro-differential equations of the Volterra type. Under different assumptions two types of formulas for the increment of the quality functional are constructed for these problems. Studying them on various control variations, the analogues of the maximum principle of L.S. Pontryagin and the linearized maximum condition are proved.

Keywords: two-stage control problem, integro-differential equation, increment formula, admissible control, necessary optimality condition, optimal control.

Received: 28.12.2023

Bibliographic databases:

Document Type: Article

UDC: 517.934

Language: Russian

Citation: K. B. Mansimov, A. F. Mansimzade, “To the necessary optimality conditions in one two-stage control problem for integro-differential equations of Volterra type”, PFMT, 2024, no. 2(59), 84–89

Citation in format AMSBIB

\Bibitem{ManMan24}

\by K.~B.~Mansimov, A.~F.~Mansimzade

\paper To the necessary optimality conditions in one two-stage control problem for integro-differential equations of Volterra type

\jour PFMT

\yr 2024

\issue 2(59)

\pages 84--89

\mathnet{http://mi.mathnet.ru/pfmt971}

\crossref{https://doi.org/10.54341/20778708_2024_2_59_84}

\edn{https://elibrary.ru/BMLYHS}

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References:	21

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