Optimal Control of the Consolidation Process

  • G. Szefer
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


In the paper some optimization problems of consolidation process are considered. The consolidation process is treated as a control system described by partial differential equations. In the control theory this case of a system is called “system with distributed parameters” and became the subject of intensive investigations in the recent years [2]. Application of the control theory is here not accidental; we will see, that the non-classical variational problems considered in the paper—are of the nature of problems of optimal control theory.


Porosity Filtration Compressibility 


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  1. 1.
    Feldbaum, A. A., Butkovsky, A. G.: Method of Theory of Automatic Control (in Russian), Moscow 1971.Google Scholar
  2. 2.
    Szefer, G.: Deformable Material Continuum as a Control System with Spatially Distributed Parameters. Archives of Mechanics 23, 6 (1971).Google Scholar
  3. 3.
    Zaretsky, J. K.: Consolidation Theory of Soils (in Russian), Moscow 1967.Google Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1975

Authors and Affiliations

  • G. Szefer
    • 1
  1. 1.Technical UniversityCracowPoland

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