Advertisement

A New Parametrization of Rational Inner Functions of Fixed Degree: Schur Parameters and Realizations

  • Andrea Gombani
  • Martine Olivi

Abstract.

We present a new parametrization of inner functions based on the Schur algorithm. We make use of state space formulas (in practice we obtain a new parametrization of observable pairs). The main advantage of our parametrization is that for each chart the observability gramian is constant: this leads to very good behavior in some approximation problems.

Key words. Rational inner functions, Parametrizations, Schur algorithm, Realizations, Continuous time systems, Smooth manifolds. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 2000

Authors and Affiliations

  • Andrea Gombani
    • 1
  • Martine Olivi
    • 2
  1. 1.LADSEB-CNR, Corso Stati Uniti 4, 35127 Padova, Italy. gombani@ladseb.pd.cnr.it.IT
  2. 2.INRIA, BP 93, 06902 Sophia-Antipolis Cedex, France. olivi@sophia.inria.fr.FR

Personalised recommendations