Model reduction of second order systems

Chahlaoui, Younes and Lemonnier, Damien and Meerbergen, Karl and Vandendorpe, Antoine and Van Dooren, Paul (2002) Model reduction of second order systems. In: Math. Th. Netw. Syst. International Symposium, August 2002, University Notre Dame, Illinois.

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Abstract

In this paper we propose new model reduction methods which preserve the polynomial form of a given second order system. We also give numerical results to illustrate that even when imposing such restrictions, one still obtains approximation errors which are comparable to those obtained via balanced truncation. The advantage of our approach is that preserving the system structure may better reflect the physical properties of the system we want to approximate.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Paper 26984
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: 12 Feb 2008
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1038

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