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Izvestiya: Mathematics, 1999, Volume 63, Issue 3, Pages 599–630
DOI: https://doi.org/10.1070/im1999v063n03ABEH000242 (Mi im242) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Well-posed extensions of unstable control problems with integral constraints

A. G. Chentsov
English version PDF (587 kB) Citations (19)
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DOI: https://doi.org/10.1070/im1999v063n03ABEH000242
Abstract: The paper deals with the reconstruction of the natural asymptotic behaviour of sets of admissible elements and their information images (“attainable” elements) by relaxing integral constraints. This asymptotic behaviour can be “lost” in the orthodox data processing. Procedures are suggested that can be applied, in particular, to the study of the asymptotic behaviour of the attainability domains of control systems under a vanishingly small problem relaxation.
Received: 27.06.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1999, Volume 63, Issue 3, Pages 185–223
DOI: https://doi.org/10.4213/im242
Bibliographic databases:
MSC: 93C25, 93B03
Language: English
Original paper language: Russian
Citation: A. G. Chentsov, “Well-posed extensions of unstable control problems with integral constraints”, Izv. RAN. Ser. Mat., 63:3 (1999), 185–223; Izv. Math., 63:3 (1999), 599–630
Citation in format AMSBIB
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\by A.~G.~Chentsov
\paper Well-posed extensions of unstable control problems with integral constraints
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\yr 1999
\vol 63
\issue 3
\pages 185--223
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\transl
\jour Izv. Math.
\yr 1999
\vol 63
\issue 3
\pages 599--630
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  • https://www.mathnet.ru/eng/im242
  • https://doi.org/10.1070/im1999v063n03ABEH000242
  • https://www.mathnet.ru/eng/im/v63/i3/p185
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:510
    Russian version PDF:213
    English version PDF:21
    References:82
    First page:1
     
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