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Model reduction of weakly nonlinear systems

Condon, Marissa and Grahovski, Georgi G. (2009) Model reduction of weakly nonlinear systems. In: WCE 2008 - World Congress on Engineering, 2-4 July 2008, London, UK. ISBN 978-90-481-2310-0

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Abstract

In general, model reduction techniques fall into two categories — moment —matching and Krylov techniques and balancing techniques. The present contribution is concerned with the former. The present contribution proposes the use of a perturbative representation as an alternative to the bilinear representation [4]. While for weakly nonlinear systems, either approximation is satisfactory, it will be seen that the perturbative method has several advantages over the bilinear representation. In this contribution, an improved reduction method is proposed. Illustrative examples are chosen, and the errors obtained from the different reduction strategies will be compared.

Item Type:	Conference or Workshop Item (Paper)
Event Type:	Conference
Refereed:	Yes
Uncontrolled Keywords:	circuits and networks; model reduction; Krylov techniques; nonlinear circuits;
Subjects:	Engineering > Electronic engineering
DCU Faculties and Centres:	DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Published in:	Advances in Electrical Engineering and Computational Science. Lecture Notes in Electrical Engineering 39. Springer Netherlands. ISBN 978-90-481-2310-0
Publisher:	Springer Netherlands
Official URL:	http://dx.doi.org/10.1007/978-90-481-2311-7_2
Copyright Information:	The original publication is available at www.springerlink.com
Use License:	This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
Funders:	Science Foundation Ireland, SFI 05/IN.1/I18
ID Code:	15138
Deposited On:	04 Feb 2010 10:45 by DORAS Administrator. Last Modified 24 May 2010 11:23

Available Versions of this Item

Model reduction of a perturbative representation of a weakly nonlinear system. (deposited 03 Mar 2009 14:17)
- Model reduction of weakly nonlinear systems. (deposited 04 Feb 2010 10:45) [Currently Displayed]

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