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Avtomatika i Telemekhanika, 2006, Issue 6, Pages 54–60 (Mi at1194)  
This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

Turnpike solutions of optimal control problems

Ni Ming Kanga, M. Yu. Ukhinb

a East Chinese Pedagogical University, Shanghai, China
b Institute of Program Systems, Russian Academy of Sciences, Pereslavl–Zalesskii, Russia
Full-text PDF (185 kB) Citations (3)
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Abstract: Minimizing sequences for degenerate optimal control problems are constructed from turnpike solutions. Two variational approximation schemes for the turnpike solution are described: the first is a direct improvement of the simple approximation of piecewise-continuous turnpikes by the solutions of the initial differential system and the second consists of constructing an approximate optimal control in the neighborhood of a turnpike by a parametric curve in the state space. Since a sequence of state-linear feedback controls with variable coefficients is generated in both variants, turnpikes can be easily realized in practice.
Presented by the member of Editorial Board: B. M. Miller

Received: 27.06.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 6, Pages 880–886
DOI: https://doi.org/10.1134/S000511790606004X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: Ni Ming Kang, M. Yu. Ukhin, “Turnpike solutions of optimal control problems”, Avtomat. i Telemekh., 2006, no. 6, 54–60; Autom. Remote Control, 67:6 (2006), 880–886
Citation in format AMSBIB
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\by Ni Ming Kang, M.~Yu.~Ukhin
\paper Turnpike solutions of optimal control problems
\jour Avtomat. i Telemekh.
\yr 2006
\issue 6
\pages 54--60
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2245094}
\zmath{https://zbmath.org/?q=an:1120.49300}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 6
\pages 880--886
\crossref{https://doi.org/10.1134/S000511790606004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745295113}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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