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Digital Library of the
European Council for Modelling and Simulation |
Title: |
On Stability And Model Order Reduction Of Perturbed Nonlinear
Neural Networks |
Authors: |
Marissa Condon, Georgi
G. Grahovski |
Published in: |
ECMS
2008 Proceedings Edited
by: Loucas S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid Al-Begain ISBN:
978-0-9553018-6-5 Doi: 10.7148/2008 22nd
European Conference on Modelling and Simulation, Nicosia, June
3-6, 2008 |
Citation
format: |
Condon, M., & Grahovski, G. G. (2008). On Stability And Model Order
Reduction Of Perturbed Nonlinear Neural Networks. ECMS 2008 Proceedings
edited by: L. S. Louca, Y. Chrysanthou,
Z. Oplatkova, K. Al-Begain (pp. 292-298). European Council for
Modeling and Simulation. doi:10.7148/2008-0292 |
DOI: |
http://dx.doi.org/10.7148/2008-0292 |
Abstract: |
In this
paper, the qualitative theory of large-scale dynam-
ical systems is surveyed. In particular, the focus
is the Hopfield Neural networks both with and without pertur-
bations. Properties relating to asymptotic and exponen- tial stability and
instability are detailed. A model reduc- tion 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 illus- trates
some important points. |
Full
text: |