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Avtomatika i Telemekhanika, 2015, Issue 3, Pages 22–31 (Mi at14195)  

This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear Systems

Algorithm for piecewise-linear approximation of the reachable set boundary

A. Yu. Gornov, E. A. Finkel'shtein

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (397 kB) Citations (3)
References:
Abstract: The studies and approaches to estimating the reachable sets of the control systems were reviewed in brief. An algorithm for piecewise-linear approximation of the boundary of the reachable set was proposed on the basis of solving a special problem of optimal control in terms of the criterion of volume maximum of the corresponding estimate of the reachable set. The results of computer experiments were presented.
Presented by the member of Editorial Board: V. I. Gurman

Received: 04.02.2013
English version:
Automation and Remote Control, 2015, Volume 76, Issue 3, Pages 385–393
DOI: https://doi.org/10.1134/S0005117915030030
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Gornov, E. A. Finkel'shtein, “Algorithm for piecewise-linear approximation of the reachable set boundary”, Avtomat. i Telemekh., 2015, no. 3, 22–31; Autom. Remote Control, 76:3 (2015), 385–393
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/at14195
  • https://www.mathnet.ru/eng/at/y2015/i3/p22
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:382
    Full-text PDF :645
    References:51
    First page:33
     
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