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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| 格式: | Article |
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John Wiley and Sons Ltd.
2011
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| 在线阅读: | http://eprints.utm.my/id/eprint/29148/ http://dx.doi.org/10.1002/rnc.1745 |
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| 总结: | 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. |
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