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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 3, Pages 521–552
DOI: https://doi.org/10.1070/IM1989v033n03ABEH000855 (Mi im1227) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Optimal control problems with delays of general form and with phase constraints

A. S. Matveev
English version PDF (1749 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1989v033n03ABEH000855
Abstract: Necessary conditions for an extremum are obtained in the form of a maximum principle in the problem of optimal control of a system described by a differential equation with delays. It is assumed that phase constraints are present in the problem, and the delays in the controls are incommensurable in general. The indicated result is obtained using an abstract theory developed in the paper that is applicable to a large class of optimization problems, including various problems with phase constraints and delays.
Bibliography: 19 titles.
Received: 12.03.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 6, Pages 1200–1229
Bibliographic databases:
UDC: 519.3
MSC: Primary 34K35; Secondary 49A51, 93C25
Language: English
Original paper language: Russian
Citation: A. S. Matveev, “Optimal control problems with delays of general form and with phase constraints”, Izv. Akad. Nauk SSSR Ser. Mat., 52:6 (1988), 1200–1229; Math. USSR-Izv., 33:3 (1989), 521–552
Citation in format AMSBIB
\Bibitem{Mat88}
\by A.~S.~Matveev
\paper Optimal control problems with delays of general form and with phase constraints
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 6
\pages 1200--1229
\mathnet{http://mi.mathnet.ru/im1227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=984216}
\zmath{https://zbmath.org/?q=an:0697.49021}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 3
\pages 521--552
\crossref{https://doi.org/10.1070/IM1989v033n03ABEH000855}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:819
    Russian version PDF:282
    English version PDF:23
    References:92
    First page:2
     
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