## 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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Official URL: http://www.springerlink.com/content/r2108k3130r941t2/?p=b4b69bfd848b463d9251b83891135aef&pi=1

## 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 |
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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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