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Avtomatika i Telemekhanika, 2006, Issue 3, Pages 8–19 (Mi at1148)  
This article is cited in 14 scientific papers (total in 14 papers)

Deterministic Systems

Measure-controlled dynamic systems: Polyhedral approximation of their reachable set boundary

V. A. Baturina, E. V. Goncharovaa, F. L. Pereirab, J. B. Sousab

a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
b Institute for Systems and Robots, Engineering Faculty, University of Porto, Portugal
Full-text PDF (256 kB) Citations (14)
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Abstract: An algorithm for polyhedral approximation of the reachable set of impulsive dynamic control systems is designed. The boundary points of the reachable set are determined by recursively generating and solving a family of auxiliary optimal impulsive control problems with state-linear objective functional. The impulsive control problem is solved with an algorithm that implicitly reduces the problem an ordinary optimal control problem. The reduced problem thus obtained is solved with an algorithm based on local approximations of the reachable set.
Presented by the member of Editorial Board: B. M. Miller

Received: 12.04.2004
English version:
Automation and Remote Control, 2006, Volume 67, Issue 3, Pages 350–360
DOI: https://doi.org/10.1134/S0005117906030027
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: V. A. Baturin, E. V. Goncharova, F. L. Pereira, J. B. Sousa, “Measure-controlled dynamic systems: Polyhedral approximation of their reachable set boundary”, Avtomat. i Telemekh., 2006, no. 3, 8–19; Autom. Remote Control, 67:3 (2006), 350–360
Citation in format AMSBIB
\Bibitem{BatGonPer06}
\by V.~A.~Baturin, E.~V.~Goncharova, F.~L.~Pereira, J.~B.~Sousa
\paper Measure-controlled dynamic systems: Polyhedral approximation of their reachable set boundary
\jour Avtomat. i Telemekh.
\yr 2006
\issue 3
\pages 8--19
\mathnet{http://mi.mathnet.ru/at1148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2218483}
\zmath{https://zbmath.org/?q=an:1126.93314}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 3
\pages 350--360
\crossref{https://doi.org/10.1134/S0005117906030027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33645281129}
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  • https://www.mathnet.ru/eng/at/y2006/i3/p8
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :64
    References:30
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