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On stability and model order reduction of perturbed nonlinear neural networks

Condon, Marissa and Grahovski, Georgi G. (2008) On stability and model order reduction of perturbed nonlinear neural networks. In: ECMS 2008 - 22nd European Conference on Modelling and Simulation, 3-6 June 2008, Nicosia, Cyprus.

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Abstract

In this paper, the qualitative theory of large-scale dynamical systems is surveyed. In particular, the focus is the Hopfield Neural networks both with and without perturbations. Properties relating to asymptotic and exponential stability and instability are detailed. A model reduction technique based on balanced truncation is applied to the neural networks. Its effect on the stability properties of the networks is then examined. A numerical test illustrates some important points.

Item Type:	Conference or Workshop Item (Paper)
Event Type:	Conference
Refereed:	No
Uncontrolled Keywords:	model reduction; balanced truncation; neural networks; perturbed nonlinear systems;
Subjects:	Engineering > Electronic engineering
DCU Faculties and Centres:	DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Official URL:	http://www.scs-europe.net/conf/ecms2008/
Copyright Information:	© 2008 European Council for Modelling and Simulation
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:	2437
Deposited On:	03 Mar 2009 11:22 by DORAS Administrator. Last Modified 24 May 2010 11:25

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