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.
A new parametrization of rational inner functions of fixed degree: Schur parameters and realizations
A Gombani;
2000
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.File in questo prodotto:
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