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Sbornik: Mathematics, 2001, Volume 192, Issue 5, Pages 763–783
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000567 (Mi sm567) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Optimal programmed controls: existence and approximation

D. A. Khrychev

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
English version PDF (251 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2001v192n05ABEH000567
Abstract: The existence of an optimal programmed control is proved for a Mayer problem with random parameters under sufficiently general conditions on a dynamical system. For obtaining suboptimal controls a method is considered that uses discretization of the distribution of the random parameters. It is shown that the results can be extended to problems with distributed parameters.
Received: 29.02.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 5, Pages 125–144
DOI: https://doi.org/10.4213/sm567
Bibliographic databases:
UDC: 517.977
MSC: Primary 93E20, 34F05, 35R60, 35L70; Secondary 49M99, 49J15, 49J20
Language: English
Original paper language: Russian
Citation: D. A. Khrychev, “Optimal programmed controls: existence and approximation”, Mat. Sb., 192:5 (2001), 125–144; Sb. Math., 192:5 (2001), 763–783
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:521
    Russian version PDF:246
    English version PDF:32
    References:80
    First page:2
     
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