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New Approximants for Nonlinear Functional Expansions

  • Françoise Lamnabhi-Lagarrigue
  • Zerong Yu
Part of the Progress in Systems and Control Theory book series (PSCT, volume 7)

Abstract

This work is a first step in obtaining new approximations for nonlinear functional expansions which are realized by bilinear systems. They are derived from formal approximants obtained from a combinatorial theory introduced by Leroux and Viennot. They were successive truncations of a nonlinear continued fraction and may be seen as the analogue of Padé approximants for analytic functions. These new approximations should provide a better analysis of nonlinear systems than the use of Volterra series.

Keywords

Nonlinear Differential Equation Continue Fraction Elementary Step Bilinear System Volterra Series 
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 Science+Business Media New York 1991

Authors and Affiliations

  • Françoise Lamnabhi-Lagarrigue
    • 1
  • Zerong Yu
    • 1
  1. 1.Laboratoire des Signaux et SystèmesSUPELECGif-sur-Yvette CedexFrance

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