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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1996, Volume 60, Issue 4, Pages 511–518 (Mi mz1859)

Optimal control of a nonlinear singular system with state constraints

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University

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.

DOI: https://doi.org/10.4213/mzm1859

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English version:
Mathematical Notes, 1996, 60:4, 383–388

Bibliographic databases:

UDC: 517.977

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
\Bibitem{Ser96} \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 \vol 60 \issue 4 \pages 511--518 \mathnet{http://mi.mathnet.ru/mz1859} \crossref{https://doi.org/10.4213/mzm1859} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1619431} \zmath{https://zbmath.org/?q=an:0910.49004} \transl \jour Math. Notes \yr 1996 \vol 60 \issue 4 \pages 383--388 \crossref{https://doi.org/10.1007/BF02305421} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1996WN90400027}