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On the efficient computation of higher order maps adfkg(x) using Taylor arithmetic and the Campbell-Baker-Hausdorff formula

  • Klaus Röbenack
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 281)

Abstract

The computation of ad f k g requires derivatives of f and g up to order k. For small dimensions, the Lie brackets can be computed with computer algebra packages. The application to non-trivial systems is limited due to a burden of symbolic computations involved. The author proposes a method to compute function values of ad f k g using automatic differentiation.

Keywords

Reverse Mode Symbolic Computation Nonlinear Control System Mathematical Control Theory Computer Algebra Package 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Klaus Röbenack
    • 1
  1. 1.Institut für Regelungs- und SteuerungstheorieTU DresdenDresdenGermany

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