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Matematicheskie Zametki, 1996, Volume 60, Issue 4, Pages 511–518
DOI: https://doi.org/10.4213/mzm1859 (Mi mzm1859) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Optimal control of a nonlinear singular system with state constraints

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University
Full-text PDF (160 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm1859
Abstract: A control system described by a nonlinear equation of parabolic type is considered in the situation where there may be no global solution. A particular optimal control problem subject to state constraints is studied. A proof of the existence of an optimal control is presented. The penalty method is used to obtain necessary conditions for optimal control. A proof of the convergence of this method is given. The successive approximation method is used to obtain an approximate solution for the conditions derived.
Received: 25.11.1994
English version:
Mathematical Notes, 1996, Volume 60, Issue 4, Pages 383–388
DOI: https://doi.org/10.1007/BF02305421
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: S. Ya. Serovaǐskiǐ, “Optimal control of a nonlinear singular system with state constraints”, Mat. Zametki, 60:4 (1996), 511–518; Math. Notes, 60:4 (1996), 383–388
Citation in format AMSBIB
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\by S.~Ya.~Serova{\v\i}ski{\v\i}
\paper Optimal control of a~nonlinear singular system with state constraints
\jour Mat. Zametki
\yr 1996
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\issue 4
\pages 511--518
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\crossref{https://doi.org/10.4213/mzm1859}
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\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 4
\pages 383--388
\crossref{https://doi.org/10.1007/BF02305421}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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