Stability analysis of Hopfield neural networks with uncertainty

Authors:
Xinzhi Liu;R. Dickson
Affiliations:
Department of Applied Mathematics Faculty of Mathematics, University of Waterloo Waterloo, Ontario, Canada N2L 3G1;Department of Applied Mathematics Faculty of Mathematics, University of Waterloo Waterloo, Ontario, Canada N2L 3G1
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

Citing 5
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Abstract

This paper investigates stability properties of Hopfield neural networks with uncertainty. Sufficient conditions are established which ensure the existence of a globally asymptotically stable equilibrium point. The importance of these results lies in the fact that they take into account a shift in the equilibrium which may occur when the network interconnection weights are subject to a bounded uncertainty. Some examples are also given to illustrate the theorems.