Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 206, Pages 107–124
DOI: https://doi.org/10.36535/0233-6723-2022-206-107-124 (Mi into969) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the statement and solvability of the $l$-problem of moments for fractional systems

S. S. Postnov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.36535/0233-6723-2022-206-107-124
Abstract: In this paper, we generalize the method of moments for optimal control problems for fractional linear systems with concentrated parameters to new types of systems. We analyze the statement and solvability of the $l$-problem of moments for the simplest one- and two-dimensional systems with Prabhakar, Saigo, and Grinko operators. In some cases, we obtain exact analytical solutions of this problem.
Keywords: fractional order dynamical system, optimal control, fractional derivative, $l$-problem of moments.
Document Type: Article
UDC: 517.977, 519.7
MSC: 49N05, 49J21, 93C23, 34K35, 34A08
Language: Russian
Citation: S. S. Postnov, “On the statement and solvability of the $l$-problem of moments for fractional systems”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206, VINITI, Moscow, 2022, 107–124
Citation in format AMSBIB
\Bibitem{Pos22}
\by S.~S.~Postnov
\paper On the statement and solvability of the $l$-problem of moments for fractional systems
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 206
\pages 107--124
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into969}
\crossref{https://doi.org/10.36535/0233-6723-2022-206-107-124}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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