Title
On stability of disturbed Hopfield neural networks with time delays
Abstract
In real application, the dynamics of Hopfield neural network is often affected by disturbing signals and time delays, so it is worthwhile to study dynamical properties of this type of neural network. Firstly, the ideal solution is defined as the solution of the network without disturbing signals. In order to ensure uniqueness, L2-gain stability, global stability or global exponential stability of the ideal solution, corresponding sufficient conditions are presented, respectively, using homotopic method, inequality techniques, M-matrix properties or one time-delay inequality. All the obtained results are illustrated by several simulations.
Year
DOI
Venue
2006
10.1016/j.neucom.2005.08.002
Neurocomputing
Keywords
Field
DocType
Hopfield neural network,Ideal solution,L2-gain stability,Global stability,Exponential stability
Applied mathematics,Uniqueness,Pattern recognition,Control theory,Ideal solution,Exponential stability,Artificial intelligence,Artificial neural network,Hopfield network,Mathematics
Journal
Volume
Issue
ISSN
69
7
0925-2312
Citations 
PageRank 
References 
3
0.40
8
Authors
3
Name
Order
Citations
PageRank
Yiguang Liu133837.15
Zhisheng You241752.22
Liping Cao3716.47