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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 8, Pages 139–147 (Mi fpm917)  
This article is cited in 4 scientific papers (total in 4 papers)

Optimization of the proportional navigation law with time delay

E. S. Manuilovich, O. Yu. Cherkasova

a M. V. Lomonosov Moscow State University
Full-text PDF (496 kB) Citations (4)
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Abstract: The controlled relative motion of spacecraft nearby an orbital station is considered. The rendezvous method used at the active spacecraft is an algorithm of proportional navigation which is realized with some constant time delay. The coefficient of the law of guidance is considered to be the control variable, a step time function. The problem of choice of the mentioned coefficient which provides a minimum of the rendezvous time is analyzed. It turns out that the optimal solution includes both boundary and intermediate control values. The results of computer simulation are given.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 2, Pages 6644–6650
DOI: https://doi.org/10.1007/s10958-007-0501-y
Bibliographic databases:
UDC: 518.9
Language: Russian
Citation: E. S. Manuilovich, O. Yu. Cherkasov, “Optimization of the proportional navigation law with time delay”, Fundam. Prikl. Mat., 11:8 (2005), 139–147; J. Math. Sci., 147:2 (2007), 6644–6650
Citation in format AMSBIB
\Bibitem{ManChe05}
\by E.~S.~Manuilovich, O.~Yu.~Cherkasov
\paper Optimization of the proportional navigation law with time delay
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 8
\pages 139--147
\mathnet{http://mi.mathnet.ru/fpm917}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2226757}
\zmath{https://zbmath.org/?q=an:1151.49311}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 147
\issue 2
\pages 6644--6650
\crossref{https://doi.org/10.1007/s10958-007-0501-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35549008855}
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  • https://www.mathnet.ru/eng/fpm/v11/i8/p139
    • 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
    		Фундаментальная и прикладная математика
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