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Avtomatika i Telemekhanika, 2005, Issue 10, Pages 70–79 (Mi at1444)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

Optimal control for a system on a unit simplex in infinite time

O. A. Kuzenkov, E. A. Ryabova

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (203 kB) Citations (1)
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Abstract: Optimal control for a semilinear system of first-order partial differential equations in infinite time is studied. The values of control variables belong to a finite-dimensional unit simplex at every instant at every point of the space. Necessary and sufficient conditions for the quality criterion of optimal control to be absolutely maximal are formulated.
Presented by the member of Editorial Board: B. T. Polyak

Received: 02.06.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 10, Pages 1594–1602
DOI: https://doi.org/10.1007/s10513-005-0193-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. A. Kuzenkov, E. A. Ryabova, “Optimal control for a system on a unit simplex in infinite time”, Avtomat. i Telemekh., 2005, no. 10, 70–79; Autom. Remote Control, 66:10 (2005), 1594–1602
Citation in format AMSBIB
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\by O.~A.~Kuzenkov, E.~A.~Ryabova
\paper Optimal control for a~system on a~unit simplex in infinite time
\jour Avtomat. i Telemekh.
\yr 2005
\issue 10
\pages 70--79
\mathnet{http://mi.mathnet.ru/at1444}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2177972}
\zmath{https://zbmath.org/?q=an:1126.49311}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 10
\pages 1594--1602
\crossref{https://doi.org/10.1007/s10513-005-0193-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27144498917}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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