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Sbornik: Mathematics, 2008, Volume 199, Issue 4, Pages 613–627
DOI: https://doi.org/10.1070/SM2008v199n04ABEH003935 (Mi sm3886) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Codimension-two singularities in 3D affine control systems with a scalar control

A. O. Remizov

University of Porto
English version PDF (321 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM2008v199n04ABEH003935
Abstract: Codimension-two singularities of the field of totally singular extremal trajectories in 3D affine control systems with scalar control are investigated. These singularities can be of two types: the first is related to singularities of the field of the Hamiltonian system of the maximum principle itself, while the second is related to the degenerate projection of the field of totally singular extremals onto the phase space. The fields of extremal trajectories occurring in these two cases have completely different normal forms and phase portraits.
Bibliography: 7 titles.
Received: 23.05.2007
Bibliographic databases:
UDC: 517.977
MSC: Primary 93C15, 93B27; Secondary 49K15
Language: English
Original paper language: Russian
Citation: A. O. Remizov, “Codimension-two singularities in 3D affine control systems with a scalar control”, Sb. Math., 199:4 (2008), 613–627
Citation in format AMSBIB
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\by A.~O.~Remizov
\paper Codimension-two singularities in 3D affine control systems with a scalar control
\jour Sb. Math.
\yr 2008
\vol 199
\issue 4
\pages 613--627
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  • https://doi.org/10.1070/SM2008v199n04ABEH003935
  • https://www.mathnet.ru/eng/sm/v199/i4/p143
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:470
    Russian version PDF:205
    English version PDF:11
    References:65
    First page:4
     
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