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Avtomatika i Telemekhanika, 2013, Issue 11, Pages 20–38 (Mi at6158)  

This article is cited in 6 scientific papers (total in 6 papers)

Nonlinear Systems

Geometric theory of special modes in the distributed-parameter control systems. I

A. V. Akhmetzyanova, A. G. Kushnerab, V. V. Lychaginac

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c University of Tromsö, Tromsö, Norway
Full-text PDF (633 kB) Citations (6)
References:
Abstract: The present paper is the first in the projected series of publications illustrating the application of the geometric theory of singular solutions of the nonlinear partial differential equations to the description of special modes in the distributed-parameter control systems. Consideration was given to the problem of biphase unidimensional filtering of fluids (oil and water) in the porous media of the natural oil pools.
The paper is an extended version of the report presented at the International Conference PACO'2012 prepared for publication on recommendation of the Program Committee [1].
Presented by the member of Editorial Board: A. P. Krishchenko

Received: 01.04.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 11, Pages 1786–1801
DOI: https://doi.org/10.1134/S0005117913110027
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Akhmetzyanov, A. G. Kushner, V. V. Lychagin, “Geometric theory of special modes in the distributed-parameter control systems. I”, Avtomat. i Telemekh., 2013, no. 11, 20–38; Autom. Remote Control, 74:11 (2013), 1786–1801
Citation in format AMSBIB
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\paper Geometric theory of special modes in the distributed-parameter control systems.~I
\jour Avtomat. i Telemekh.
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\issue 11
\pages 20--38
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\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 11
\pages 1786--1801
\crossref{https://doi.org/10.1134/S0005117913110027}
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  • https://www.mathnet.ru/eng/at6158
  • https://www.mathnet.ru/eng/at/y2013/i11/p20
  • This publication is cited in the following 6 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:553
    Full-text PDF :161
    References:96
    First page:32
     
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