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Avtomatika i Telemekhanika, 2013, Issue 12, Pages 104–118 (Mi at6172)  
This article is cited in 1 scientific paper (total in 1 paper)

Topical issue

A step-type solution for the affine singularly perturbed problem of optimal control

Ni Ming Kang, Wu Li Meng

East China Normal University, Shanghai, China
Full-text PDF (234 kB) Citations (1)
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Abstract: The article deals with a dynamic analysis that provides a way of defining the location of boundary and internal transition layers for a certain singularly perturbed problem of optimal control. A direct diagram is used in the development of a formal asymptotic expansion for the optimal solution. Investigation of the problems of optimal control with the “step-type” contrast structure is extended from the scalar to the vector case and the approach to the study of similar problems is improved. The existence of the solution is proved and the estimate is given of the remainder terms of the asymptotic expansion of the “step-type” optimal solution. A numerical example is cited.
Presented by the member of Editorial Board: V. I. Gurman

Received: 04.02.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 12, Pages 2007–2019
DOI: https://doi.org/10.1134/S0005117913120059
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Ni Ming Kang, Wu Li Meng, “A step-type solution for the affine singularly perturbed problem of optimal control”, Avtomat. i Telemekh., 2013, no. 12, 104–118; Autom. Remote Control, 74:12 (2013), 2007–2019
Citation in format AMSBIB
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\by Ni Ming Kang, Wu Li Meng
\paper A step-type solution for the affine singularly perturbed problem of optimal control
\jour Avtomat. i Telemekh.
\yr 2013
\issue 12
\pages 104--118
\mathnet{http://mi.mathnet.ru/at6172}
\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 12
\pages 2007--2019
\crossref{https://doi.org/10.1134/S0005117913120059}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000328621300005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84891522800}
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  • https://www.mathnet.ru/eng/at6172
  • https://www.mathnet.ru/eng/at/y2013/i12/p104
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:327
    Full-text PDF :56
    References:55
    First page:20
     
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