A Two-Variable Approach to the Model Reduction Problem with Hankel Norm Criterion

Yves V. Genin; Sun Yuan Kung

doi:10.1109/TCS.1981.1085067

A Two-Variable Approach to the Model Reduction Problem with Hankel Norm Criterion

Yves V. Genin, Sun Yuan Kung

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28 Scopus citations

Abstract

A two-variable approach to the model reduction problem with Hankel norm criterion is discussed. The problem is proved to be reducible to obtaining 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 Hanhel norm approximations are then shown to result directly from the general form of the solution of the interpolation problem considered.

Original language	English (US)
Pages (from-to)	912-924
Number of pages	13
Journal	IEEE transactions on circuits and systems
Volume	28
Issue number	9
DOIs	https://doi.org/10.1109/TCS.1981.1085067
State	Published - Sep 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Engineering

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10.1109/TCS.1981.1085067

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abstract = "A two-variable approach to the model reduction problem with Hankel norm criterion is discussed. The problem is proved to be reducible to obtaining 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 Hanhel norm approximations are then shown to result directly from the general form of the solution of the interpolation problem considered.",

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AB - A two-variable approach to the model reduction problem with Hankel norm criterion is discussed. The problem is proved to be reducible to obtaining 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 Hanhel norm approximations are then shown to result directly from the general form of the solution of the interpolation problem considered.

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A Two-Variable Approach to the Model Reduction Problem with Hankel Norm Criterion

Abstract

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