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Matematicheskie Zametki, 2004, Volume 76, Issue 6, Pages 893–904
DOI: https://doi.org/10.4213/mzm161 (Mi mzm161) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Approximate Penalty Method in Optimal Control Problems for Nonsmooth Singular Systems

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University
Full-text PDF (231 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm161
Abstract: We consider an abstract optimal control problem with additional constraints and nonsmooth terms, but without the requirement that both the state equation on the set of admissible controls and the extremum problem be solvable. We use the approximate penalty method proposed here to find an approximate (in the weak sense) solution of the problem. As an example, we consider the optimal control problem for a singular nonlinear elliptic type equation.
Received: 21.07.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 6, Pages 834–843
DOI: https://doi.org/10.1023/B:MATN.0000049683.80550.12
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: S. Ya. Serovaǐskiǐ, “Approximate Penalty Method in Optimal Control Problems for Nonsmooth Singular Systems”, Mat. Zametki, 76:6 (2004), 893–904; Math. Notes, 76:6 (2004), 834–843
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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