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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 1, Pages 193–206
DOI: https://doi.org/10.1070/IM1985v025n01ABEH001276 (Mi im1495) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Estimates of reachable sets for linear systems

V. A. Komarov
English version PDF (650 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1985v025n01ABEH001276
Abstract: Lower and upper estimates are obtained for the reachable set of a nonautonomous control system. Ellipsoidal estimates of the reachable set are used for an upper estimate of the duration of a time optimal move from an arbitrary fixed set $M_0$ to a given set $M_1$ and for the construction of a control carrying $M_0$ to $M_1$ in the estimated time span.
Bibliography: 10 titles.
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 4, Pages 865–879
Bibliographic databases:
UDC: 517.94
MSC: Primary 49E15; Secondary 93B05, 34H05
Language: English
Original paper language: Russian
Citation: V. A. Komarov, “Estimates of reachable sets for linear systems”, Izv. Akad. Nauk SSSR Ser. Mat., 48:4 (1984), 865–879; Math. USSR-Izv., 25:1 (1985), 193–206
Citation in format AMSBIB
\Bibitem{Kom84}
\by V.~A.~Komarov
\paper Estimates of reachable sets for linear systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 4
\pages 865--879
\mathnet{http://mi.mathnet.ru/im1495}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=755961}
\zmath{https://zbmath.org/?q=an:0591.49028}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 1
\pages 193--206
\crossref{https://doi.org/10.1070/IM1985v025n01ABEH001276}
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  • https://www.mathnet.ru/eng/im/v48/i4/p865
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:427
    Russian version PDF:172
    English version PDF:13
    References:55
    First page:1
     
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