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Cybernetics and Systems Analysis

, Volume 46, Issue 2, pp 314–325 | Cite as

Investigation of self-organization processes in educational systems by synergetic modeling

  • V. V. Yasinsky
Article
  • 39 Downloads

A mathematical model of a complex educational macrosystem constructed by the system synergetic method is considered and the problem of preservation of a guaranteed level of observable knowledge is solved. The existence of an attractor with some metric and topological properties in the phase space is proved. In the case of a multivalued function of system reaction, the problem of approximated optimal feedback control is solved.

Keywords

self-organization synergetics model of an educational system nonsmooth function of system reaction nonlinear evolutionary equation guaranteed level controllability dissipation multivalued mapping attractor 

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • V. V. Yasinsky
    • 1
  1. 1.Institute for Monitoring the Quality of EducationNational Technical University “Kiev Polytechnic Institute”KievUkraine

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