Improved results on frequency-weighted balanced truncation and error bounds

In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obta...

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書誌詳細
主要な著者: Sreeram, Venkatappa, Sahlan, Shafishuhaza
フォーマット: 論文
出版事項: John Wiley and Sons Ltd. 2011
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オンライン・アクセス:http://eprints.utm.my/id/eprint/29148/
http://dx.doi.org/10.1002/rnc.1745
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要約:In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. Numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique.