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2008.10: Model reduction of time-varying systems.

2008.10: Younes Chahlaoui and Paul Van Dooren (2006) Model reduction of time-varying systems. In: Peter Benner, Danny C. Sorensen and Volker Mehrmann, (eds). Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, 45. Springer Berlin Heidelberg, Berlin, pp. 131-148. ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

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This paper presents new recursive projection techniques to compute reduced order models of time-varying linear systems. The methods produce a low rank approximation of the Gramians or of the Hankel map of the system and are mainly based on matrix operations that can exploit sparsity of the model. We show the practical relevance of our results with a few benchmark examples.

Item Type:Book Section
Subjects:MSC 2000 > 15 Linear and multilinear algebra; matrix theory
MSC 2000 > 65 Numerical analysis
MSC 2000 > 93 Systems theory; control
MIMS number:2008.10
Deposited By:Dr Younes Chahlaoui
Deposited On:10 February 2008

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