Title: Hankel model reduction without balancing-A descriptor approach
Abstract: A basis-free descriptor system representation is shown to facilitate the computation of all minimum-degree and optimal kth order all-pass extensions and Hankel-norm approximates. The descriptor representation has the same simple form for both the optimal and for the suboptimal minimunl degree cases. The method eliminates the need for the potentially ill-conditioned calculation of a minimal balanced, or partially balanced, realization of the system to be reduced. A simple, numerically sound method based on singular-value decomposition enables the results to be expressed in state-space form. A listing of PC-MATLAB code which implements the algorithm can be found in authors' program LINF.
Publication Year: 1987
Publication Date: 1987-12-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 52
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