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.
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;