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Avtomatika i Telemekhanika, 2012, Issue 7, Pages 3–14 (Mi at4034)  
This article is cited in 2 scientific papers (total in 2 papers)

Linear Systems

On maximal deviation of linear system

V. N. Zhermolenko

Gubkin Russian State University of Oil and Gas, Moscow, Russia
Full-text PDF (187 kB) Citations (2)
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Abstract: An analytical solution of the B. V. Bulgakov problem of maximum of the norm of finite state of the stationary linear system with one control (perturbation) function taking values over an interval was proposed. The switching function of the worst relay perturbation was shown to depend on time and coordinates and be the product of the phase system vector, its transition matrix transposed to it, and the transposed column of the coefficients at perturbation.
Presented by the member of Editorial Board: B. T. Polyak

Received: 07.11.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 7, Pages 1117–1125
DOI: https://doi.org/10.1134/S0005117912070016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Zhermolenko, “On maximal deviation of linear system”, Avtomat. i Telemekh., 2012, no. 7, 3–14; Autom. Remote Control, 73:7 (2012), 1117–1125
Citation in format AMSBIB
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\by V.~N.~Zhermolenko
\paper On maximal deviation of linear system
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\jour Autom. Remote Control
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\vol 73
\issue 7
\pages 1117--1125
\crossref{https://doi.org/10.1134/S0005117912070016}
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Linking options:
  • https://www.mathnet.ru/eng/at4034
  • https://www.mathnet.ru/eng/at/y2012/i7/p3
    • This publication is cited in the following 2 articles:
    1. D. V. Balandin, R. S. Biryukov, M. M. Kogan, “Optimal control of maximum output deviations of a linear time-varying system on a finite horizon”, Autom. Remote Control, 80:10 (2019), 1783–1802  mathnet  crossref  crossref  isi  elib
    2. Victor A. Sadovnichiy, Vladimir V. Alexandrov, Stephan S. Lemak, Dmitry I. Bugrov, Katerina V. Tikhonova, Raul Temoltzi Avila, Studies in Systems, Decision and Control, 30, Continuous and Distributed Systems II, 2015, 247  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:286
    Full-text PDF :97
    References:41
    First page:6
     
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