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Avtomatika i Telemekhanika, 2009, Issue 9, Pages 141–156 (Mi at531)  

This article is cited in 2 scientific papers (total in 2 papers)

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Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration

N. N. Subbotina, T. B. Tokmantsev

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Full-text PDF (344 kB) Citations (2)
References:
Abstract: Presented was a new grid method for design the feedback-optimal control law (optimal design) in the problem of optimal control of prescribed duration. The difference between the optimal result and the result of control based on the proposed grid design was estimated for any initial state of the controlled system. These estimates were illustrated by the solutions of nonlinear model problems of control on plane where the graph of the cost function (optimal result) at the given time instant is compared with the graph of the results of control using the proposed construction.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 26.01.2009
English version:
Automation and Remote Control, 2009, Volume 70, Issue 9, Pages 1565–1578
DOI: https://doi.org/10.1134/S0005117909090094
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: N. N. Subbotina, T. B. Tokmantsev, “Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration”, Avtomat. i Telemekh., 2009, no. 9, 141–156; Autom. Remote Control, 70:9 (2009), 1565–1578
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2009/i9/p141
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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