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.
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.
Metadata
| 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 19 Jul 2018 14:43 |
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