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Avtomatika i Telemekhanika, 2016, Issue 7, Pages 47–67 (Mi at14506)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

Quasi-optimal control of dynamic systems

V. M. Aleksandrov

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (775 kB) Citations (2)
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Abstract: For linear systems under bounded control, consideration was given to a pair of methods for approximate solution of the speed problem. Independence of the initial conditions for the switching moments of the quasi-optimal control and their constancy for systems with constant parameters were proved. A domain of initial conditions where the control constraints are not violated was determined. The properties and distinctions of the quasi-optimal control were established. A way to approximate a quasi-optimal control to the optimal one was considered, and the closeness estimate was given.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00329
Russian Academy of Sciences - Federal Agency for Scientific Organizations 80
This work was supported by the Russian Foundation for Basic Research, project no. 13-01-00329, and the Siberian Branch of the Russian Academy of Sciences, interdisciplinary project no. 80.
Presented by the member of Editorial Board: I. V. Roublev

Received: 20.10.2014
English version:
Automation and Remote Control, 2016, Volume 77, Issue 7, Pages 1163–1179
DOI: https://doi.org/10.1134/S0005117916070043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Aleksandrov, “Quasi-optimal control of dynamic systems”, Avtomat. i Telemekh., 2016, no. 7, 47–67; Autom. Remote Control, 77:7 (2016), 1163–1179
Citation in format AMSBIB
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\by V.~M.~Aleksandrov
\paper Quasi-optimal control of dynamic systems
\jour Avtomat. i Telemekh.
\yr 2016
\issue 7
\pages 47--67
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\transl
\jour Autom. Remote Control
\yr 2016
\vol 77
\issue 7
\pages 1163--1179
\crossref{https://doi.org/10.1134/S0005117916070043}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000379745700004}
\elib{https://elibrary.ru/item.asp?id=27018743}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84978264505}
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  • https://www.mathnet.ru/eng/at14506
  • https://www.mathnet.ru/eng/at/y2016/i7/p47
    • This publication is cited in the following 2 articles:
    1. V. M. Aleksandrov, “Real-time computation of resource optimal control”, Comput. Math. Math. Phys., 59:7 (2019), 1074–1084  mathnet  crossref  crossref  isi  elib
    2. V. M. Aleksandrov, “Optimal resource consumption control of perturbed systems”, Num. Anal. Appl., 10:3 (2017), 185–197  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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