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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 121, Pages 44–64
DOI: https://doi.org/10.20310/1810-0198-2018-23-121-44-64 (Mi vtamu89) 		 
Scientific articles

A generalized boundary value problem for a feedback control system with infinite delay

M. M. Kulmanakovaa, V. V. Obukhovskiib, Y. L. Ul'yanovac

a N.E. Zhukovsky and Y.A. Gagarin Air Force Academy
b Voronezh State Pedagogical University
c Voronezh State Technical University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-121-44-64
Abstract: We consider a non-local boundary value problem for a feedback control system governed by a semilinear functional differential inclusion with infinite delay in a separable Banach space. As the example we present a generalized Cauchy problem and periodic problem.
Keywords: control system, feedback, functional differential inclusion, non-local boundary value problem, infinite delay, measure of noncompactness, condensing operator, fixed point, topological degree.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-52022
16-01-00370
16-01-00386
The work of V.V. Obukhovskii is partially supported by the Russian Fund for Basic Research (projects №№ 17-51-52022, 16-01-00370, 16-01-00386)
Received: 24.01.2018
Bibliographic databases:
Document Type: Article
UDC: 517.927+977
Language: Russian
Citation: M. M. Kulmanakova, V. V. Obukhovskii, Y. L. Ul'yanova, “A generalized boundary value problem for a feedback control system with infinite delay”, Tambov University Reports. Series: Natural and Technical Sciences, 23:121 (2018), 44–64
Citation in format AMSBIB
\Bibitem{KulObuUly18}
\by M.~M.~Kulmanakova, V.~V.~Obukhovskii, Y.~L.~Ul'yanova
\paper A generalized boundary value problem for a feedback control system with infinite delay
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 121
\pages 44--64
\mathnet{http://mi.mathnet.ru/vtamu89}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-121-44-64}
\elib{https://elibrary.ru/item.asp?id=32697172}
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