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

  • Nonlinear Systems
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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].

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    A. V. Akhmetzyanov, A. G. Kushner & V. V. Lychagin

  2. Lomonosov Moscow State University, Moscow, Russia

    A. G. Kushner

  3. University of Tromsö, Tromsö, Norway

    V. V. Lychagin

Authors
  1. A. V. Akhmetzyanov
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  2. A. G. Kushner
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  3. V. V. Lychagin
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Additional information

Original Russian Text © A.V. Akhmetzyanov, A.G. Kushner, V.V. Lychagin, 2013, published in Avtomatika i Telemekhanika, 2013, No. 11, pp. 20–38.

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Akhmetzyanov, A.V., Kushner, A.G. & Lychagin, V.V. Geometric theory of special modes in the distributed-parameter control systems. Autom Remote Control 74, 1786–1801 (2013). https://doi.org/10.1134/S0005117913110027

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