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)


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.


Nonlinear Differential Equation Continue Fraction Elementary Step Bilinear System Volterra Series 
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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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