Convergence radius and guaranteed error bound for the Volterra series expansion of finite dimensional quadratic systems

  • Authors:

  • Thomas Helie;Beatrice Laroche

  • Affiliations:

  • CNRS, Paris, France;Univ. Paris-Sud, CNRS, Supelec, Gif-Sur-Yvette, France

  • Venue:
  • ISPRA'08 Proceedings of the 7th WSEAS International Conference on Signal Processing, Robotics and Automation
  • Year:
  • 2008

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Abstract

In this paper, the Volterra series decomposition of a class of quadratic, time invariant single-input finite dimensional systems is considered. These systems are represented using Volterra series. The convergence of the series towards a weak solution is proven. An explicit and computable lower bound of the radius of convergence is obtained. Moreover, guaranteed error bounds in L∞(R+) are given for the truncated series. These results are illustrated on numerical simulations performed on academic examples.