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Avtomatika i Telemekhanika, 2006, Issue 8, Pages 3–11 (Mi at1219)  
This article is cited in 10 scientific papers (total in 10 papers)

Deterministic Systems

Decomposition of a linear-quadratic optimal control problem with fast and slow variables

N. V. Voropaeva, V. A. Sobolev

Samara State University
Full-text PDF (197 kB) Citations (10)
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Abstract: A linear-quadratic optimal control problem for a discrete different time-scale system is studied. The decomposition of the boundary value problem for the maximum principle is based on the geometric approach using the properties of invariant manifolds of slow and fast motions. This approach aids in constructing a transformation for reducing the initial problem to a boundary-value problem for slow variables and two initial-value problems for fast variables. The transformation is expressed as an asymptotic siries in powers of a small parameter.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 16.11.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 8, Pages 1185–1193
DOI: https://doi.org/10.1134/S0005117906080017
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: N. V. Voropaeva, V. A. Sobolev, “Decomposition of a linear-quadratic optimal control problem with fast and slow variables”, Avtomat. i Telemekh., 2006, no. 8, 3–11; Autom. Remote Control, 67:8 (2006), 1185–1193
Citation in format AMSBIB
\Bibitem{VorSob06}
\by N.~V.~Voropaeva, V.~A.~Sobolev
\paper Decomposition of a~linear-quadratic optimal control problem with fast and slow variables
\jour Avtomat. i Telemekh.
\yr 2006
\issue 8
\pages 3--11
\mathnet{http://mi.mathnet.ru/at1219}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2261506}
\zmath{https://zbmath.org/?q=an:1194.49054}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 8
\pages 1185--1193
\crossref{https://doi.org/10.1134/S0005117906080017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747643451}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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