Trudy Seminara imeni I. G. Petrovskogo
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Trudy Seminara imeni I. G. Petrovskogo, 2016, Issue 31, Pages 134–157 (Mi tsp93)  
This article is cited in 8 scientific papers (total in 8 papers)

Some problems of distributed and boundary control for systems with integral aftereffect

I. V. Romanova, A. S. Shamaevbc

a National Research University "Higher School of Economics" (HSE), Moscow
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University
Full-text PDF (222 kB) Citations (8)
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Abstract: We consider the problem of exact control for a system described by an equation with integral “memory.” It is shown that, under certain conditions, this system can be brought to rest in finite time by distributed control bounded in absolute value, and, in a special one-dimensional case, by control applied to an end-point of the interval. We consider different types of kernels in the integral term of the equation and describe some relationships between problems of controllability of some hyperbolic and parabolic systems.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00412_а
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 4, Pages 470–484
DOI: https://doi.org/10.1007/s10958-018-4023-6
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: I. V. Romanov, A. S. Shamaev, “Some problems of distributed and boundary control for systems with integral aftereffect”, Tr. Semim. im. I. G. Petrovskogo, 31, 2016, 134–157; J. Math. Sci. (N. Y.), 234:4 (2018), 470–484
Citation in format AMSBIB
\Bibitem{RomSha16}
\by I.~V.~Romanov, A.~S.~Shamaev
\paper Some problems of distributed and boundary control for systems with integral aftereffect
\serial Tr. Semim. im. I.~G.~Petrovskogo
\yr 2016
\vol 31
\pages 134--157
\mathnet{http://mi.mathnet.ru/tsp93}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 4
\pages 470--484
\crossref{https://doi.org/10.1007/s10958-018-4023-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052870311}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:36
     
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