Model reduction of time-varying systems.

Chahlaoui, Younes and Van Dooren, Paul (2006) Model reduction of time-varying systems. In: 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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Abstract

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 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control
Depositing User: Dr Younes Chahlaoui
Date Deposited: 10 Feb 2008
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1026

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