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

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...

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Bibliographic Details
Published in:Automation and remote control 2013-11, Vol.74 (11), p.1786-1801
Main Authors: Akhmetzyanov, A. V., Kushner, A. G., Lychagin, V. V.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Control systems
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Nonlinear Systems
Robotics
Systems Theory
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Summary: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].
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117913110027