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

  • Andrea Gombani
  • Martine Olivi


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. 


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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.
  2. 2.INRIA, BP 93, 06902 Sophia-Antipolis Cedex, France.

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