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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 4, Pages 70–80 (Mi smj1629)  
This article is cited in 3 scientific papers (total in 4 papers)

An estimate for Green's matrix of a Hamiltonian system in the optimal control problem

S. K. Godunov
Full-text PDF (985 kB) Citations (4)
Abstract: We obtain an estimate for the Green's matrix of a Hamilton system in the classical optimal control problem in terms of the norms of matrices discribing the quality of the optomal control; the criterion of quality is quadratic. These matrices solve an extended matrix system that involves the classical Riccati–Lourier equation. Conditionality of the system too is estimated in terms of the norms of solutions.
Received: 03.08.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 4, Pages 653–662
DOI: https://doi.org/10.1007/BF00975166
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: S. K. Godunov, “An estimate for Green's matrix of a Hamiltonian system in the optimal control problem”, Sibirsk. Mat. Zh., 34:4 (1993), 70–80; Siberian Math. J., 34:4 (1993), 653–662
Citation in format AMSBIB
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\by S.~K.~Godunov
\paper An estimate for Green's matrix of a~Hamiltonian system in the optimal control problem
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 4
\pages 70--80
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1248790}
\zmath{https://zbmath.org/?q=an:0811.49002}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 4
\pages 653--662
\crossref{https://doi.org/10.1007/BF00975166}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA84100009}
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  • https://www.mathnet.ru/eng/smj/v34/i4/p70
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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