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Structured singular values and invariant theory

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 38)

Abstract

Structured singular values are functions defined on the set of n × n matrices. They describe, in some sense, how close a matrix is to zero. Special cases are the spectral radius function and the operator norm function. Such functions are used in control engineering as a mathematical tool for robustness analysis of feedback control systems, when the physical plant (vehicle, process, etc.) is subject to parametric uncertainty. In particular, structured singular values have been used by Honeywell to analyze the robustness of the descent flight-control system of the Space Shuttle; they are also being used in flight-control design and analysis for the NASP and other aerospace vehicles currently in the design phase.

Keywords

Parametric Uncertainty Invariant Theory Projective Variety Robust Stability Space Shuttle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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