Rational Approximations with Hankel-Norm Criterion.

摘要

A two-variable approach to the model reduction problem with Hankel-Norm criterion is discussed in this reprint. The problem is proved to be reducible to obtain a two-variable all-pass rational function, interpolating a set of parametric values at specified points inside the unit circle. A polynomial formulation and the properties of the optimal Hankel norm approximations are then shown to result directly from the general form of the solution of the interpolation problem considered. As a consequence, the recursive Nevanlinna algorithm can be employed and the essential stability properties of the solution can be established with the help of the Nevanlinna matrix. Reprints. (KR)