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 |
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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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