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Особенности Множества Транзитивности, Заданного Замкнутыми Пространственными Кривыми
[Singularities of transitivity zones of curves]

Author

Listed:
  • Alexey, Kurbatskiy
  • Vladimir, Zakalyukin

Abstract

We discuss the classification of local generic singularities of so called transitivity zones, arising in control theory and determined by a family of closed submanifolds in a linear space depending on parameters. Transitivity zone consists of parameter values such that the origin belongs to the interior of the convex hull of respective submanifold.

Suggested Citation

  • Alexey, Kurbatskiy & Vladimir, Zakalyukin, 2009. "Особенности Множества Транзитивности, Заданного Замкнутыми Пространственными Кривыми [Singularities of transitivity zones of curves]," MPRA Paper 34599, University Library of Munich, Germany, revised 2009.
    • Handle: RePEc:pra:mprapa:34599
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    File URL: https://mpra.ub.uni-muenchen.de/34599/1/MPRA_paper_34599.pdf
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    More about this item

    Keywords

    control theory; transitivity zone; singularities;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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