Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 1, Pages 67–71 (Mi vmumm469)  
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Optimal synthesis in the time minimization problem under phase constraints

V. V. Aleksandrova, A. D. Belen'kiib, A. V. Lebedeva, E. Matlalcuatzi Rugerioc

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b All-Russian Scientific Research Institute of Electromechanics
c Benemérita Universidad Autónoma de Puebla, Mexico
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Abstract: The time minimization problem in a linear system with a scalar control under phase constraints is considered. This problem is reduced to the problem of maximal deviations. Necessary conditions of control optimality are obtained. The results are applied to the problem of uniaxial stabilization of a satellite in the presence of a gravitational torque. The stabilization is performed by a flywheel engine with a limited angular momentum.
Key words: time minimization problem, phase constraints, satellite stabilization.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00182
Received: 10.06.2011
English version:
Moscow University Mechanics Bulletin, 2012, Volume 67, Issue 1, Pages 23–27
DOI: https://doi.org/10.3103/S0027133012010050
Bibliographic databases:
Document Type: Article
UDC: 517.977.55
Language: Russian
Citation: V. V. Aleksandrov, A. D. Belen'kii, A. V. Lebedev, E. Matlalcuatzi Rugerio, “Optimal synthesis in the time minimization problem under phase constraints”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 1, 67–71; Moscow University Mechanics Bulletin, 67:1 (2012), 23–27
Citation in format AMSBIB
\Bibitem{AleBelLeb12}
\by V.~V.~Aleksandrov, A.~D.~Belen'kii, A.~V.~Lebedev, E.~Matlalcuatzi Rugerio
\paper Optimal synthesis in the time minimization problem under phase constraints
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 1
\pages 67--71
\mathnet{http://mi.mathnet.ru/vmumm469}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2012
\vol 67
\issue 1
\pages 23--27
\crossref{https://doi.org/10.3103/S0027133012010050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858658708}
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