Descriptor systems approximation

Two singular value decomposition (SVD)-based techniques to construct different types of lower degree approximants of a singular system are presented. Such techniques enable preservation of the key properties of the original system, such as stability, and give a quantization of approximation error. T...

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Bibliographic Details
Published in:International journal of general systems 2004-02, Vol.33 (1), p.99-110
Main Authors: Adamou-Mitiche, A B H, Mitiche, L, Sima, V
Format: Article
Language:English
Subjects:
Balancing
descriptor system
model reduction
proper and improper subsystems
singular values
Weierstrass canonical forms
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Summary:Two singular value decomposition (SVD)-based techniques to construct different types of lower degree approximants of a singular system are presented. Such techniques enable preservation of the key properties of the original system, such as stability, and give a quantization of approximation error. The first technique consists of reducing only the proper part of the descriptor system, while the second reduces at once the proper and the improper parts of the system. The numerical results reveal the capabilities of the proposed techniques.
ISSN:0308-1079
1563-5104
DOI:10.1080/03081070310001626246