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Contemporary Mathematics. Fundamental Directions, 2006, Volume 19, Pages 171–178 (Mi cmfd70)  
This article is cited in 2 scientific papers (total in 2 papers)

Regimes Of More and More Frequent Switchings in the Optimal Control Problem of Oscillations of $n$ Oscillators

E. O. Salobutina
Full-text PDF (144 kB) Citations (2)
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Abstract: The paper considers the control system of $n$ oscillators executing forced oscillations under the action of a scalar-valued control force common for all oscillators whose module is bounded. The author proves the existence of an optimal singular regime and the assertion that the optimal control has at least countably many switchings that accumulate to a conjunction point of the singular and nonsingular parts of the trajectory.
English version:
Journal of Mathematical Sciences, 2008, Volume 151, Issue 6, Pages 3603–3610
DOI: https://doi.org/10.1007/s10958-008-9040-4
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: E. O. Salobutina, “Regimes Of More and More Frequent Switchings in the Optimal Control Problem of Oscillations of $n$ Oscillators”, Optimal control, CMFD, 19, PFUR, M., 2006, 171–178; Journal of Mathematical Sciences, 151:6 (2008), 3603–3610
Citation in format AMSBIB
\Bibitem{Sal06}
\by E.~O.~Salobutina
\paper Regimes Of More and More Frequent Switchings in the Optimal Control Problem of Oscillations of $n$ Oscillators
\inbook Optimal control
\serial CMFD
\yr 2006
\vol 19
\pages 171--178
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd70}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336477}
\zmath{https://zbmath.org/?q=an:1154.49004}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 151
\issue 6
\pages 3603--3610
\crossref{https://doi.org/10.1007/s10958-008-9040-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49649086861}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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