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Orthogonality Measures and Applications in Systems Theory in One and More Variables

  • Adhemar Bultheel
  • Annie Cuyt
  • Brigitte Verdonk
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)

Abstract

The representation or order reduction of a rational transfer function by a linear combination of orthogonal rational functions offers several advantages, among which the possibility to work with prescribed poles and hence the guarantee of system stability. Also for multidimensional linear shift-invariant systems with infinite-extent impulse response, stability can be guaranteed a priori by the use of a multivariate Padé-type approximation technique, which is again a rational approximation technique. In both the one- and multidimensional case the choice of the moment functional with respect to which the orthogonality of the functions in use is imposed, plays a crucial role.

Keywords

Transfer Function Impulse Response Orthogonal Polynomial Order Reduction Rational Approximant 
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 2008

Authors and Affiliations

  • Adhemar Bultheel
    • 1
  • Annie Cuyt
    • 2
  • Brigitte Verdonk
    • 2
  1. 1.Dept of Computer ScienceKatholieke Universiteit LeuvenHeverleeBelgium
  2. 2.Dept of Mathematics and Computer ScienceUniversity of AntwerpAntwerpBelgium

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