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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 660–673 (Mi smj1204)  
This article is cited in 6 scientific papers (total in 6 papers)

Approximate solution of optimization problems for infinite-dimensional singular systems

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University
Full-text PDF (216 kB) Citations (6)
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Abstract: An optimal control problem is considered for a system described by a singular equation of parabolic type. The study bases on a special regularization method. We establish existence of a solution to the regularized problem, as well as the corresponding necessary optimality conditions. The results enable us to find an approximate solution to the original problem even in the absence of solvability.
Keywords: optimal control, singular system, regularization, approximate solution.
Received: 27.11.2001
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 3, Pages 519–528
DOI: https://doi.org/10.1023/A:1023873000582
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: S. Ya. Serovaǐskiǐ, “Approximate solution of optimization problems for infinite-dimensional singular systems”, Sibirsk. Mat. Zh., 44:3 (2003), 660–673; Siberian Math. J., 44:3 (2003), 519–528
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 519--528
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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