Title
Local exponential stability of competitive neural networks with different time scales
Abstract
This contribution presents a new method of analyzing the dynamics of a biological relevant neural network with different time scales based on the theory of flow invariance. We are able to show that the resulting stability conditions are less restrictive and more general than with K-monotone theory or singular perturbation theory. The theoretical results are further substantiated by simulation results conducted for analysis and design of these neural networks.
Year
DOI
Venue
2004
10.1016/j.engappai.2004.02.010
Engineering Applications of Artificial Intelligence
Keywords
Field
DocType
neural network,exponential stability
Mathematical optimization,Invariant (physics),Computer science,Flow (psychology),Stability conditions,Singular perturbation,Exponential stability,Artificial neural network,Monotone polygon
Journal
Volume
Issue
ISSN
17
3
0952-1976
Citations 
PageRank 
References 
17
0.92
11
Authors
4
Name
Order
Citations
PageRank
Anke Meyer-Bäse118019.36
Sergei S. Pilyugin2327.31
Axel Wismüller332435.91
Simon Foo4434.10