Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 81–84
DOI: https://doi.org/10.31857/S2686954320010038 (Mi danma40) 		 
This article is cited in 8 scientific papers (total in 8 papers)

CONTROL PROCESSES

Damping problem for a neutral control system with delay

A. S. Adkhamova, A. L. Skubachevskii

Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow, Russian Federation
Full-text PDF (152 kB) Citations (8)
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DOI: https://doi.org/10.31857/S2686954320010038
Abstract: A linear control system described by a system of differential-difference equations of neutral type with several delays and variable matrix coefficients is considered. The relationship between the variational problem for a nonlocal functional describing the multidimensional control system with delays and the corresponding boundary value problem for the system of differential-difference equations is established. The existence and uniqueness of a generalized solution to this boundary value problem are proved.
Keywords: control system with delay, differential-difference equations, generalized solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 20-01-00288
This work was supported by program “5-100” of RUDN University (Theorem 1) and by the Russian Foundation for Basic Research (grant no. 20-01-00288) (Theorem 2).
Received: 21.10.2019
Revised: 21.10.2019
Accepted: 28.10.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 68–70
DOI: https://doi.org/10.1134/S1064562420010032
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. S. Adkhamova, A. L. Skubachevskii, “Damping problem for a neutral control system with delay”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 81–84; Dokl. Math., 101:1 (2020), 68–70
Citation in format AMSBIB
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\paper Damping problem for a neutral control system with delay
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\elib{https://elibrary.ru/item.asp?id=42579071}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
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    • This publication is cited in the following 8 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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