DocumentCode
768740
Title
A unifying proof of global asymptotical stability of neural networks with delay
Author
Huang, Ying Sue ; Wu, Chai Wah
Author_Institution
Dept. of Math., Pace Univ., Pleasantville, NY, USA
Volume
52
Issue
4
fYear
2005
fDate
4/1/2005 12:00:00 AM
Firstpage
181
Lastpage
184
Abstract
We present some new global stability results of neural networks with delay and show that these results generalize recently published stability results. In particular, several different stability conditions in the literature which were proved using different Lyapunov functionals are generalized and unified by proving them using the same Lyapunov functional. We also show that under certain conditions, reversing the directions of the coupling between neurons preserves the global asymptotical stability of the neural network.
Keywords
Lyapunov methods; asymptotic stability; delays; neural nets; Lyapunov functionals; delay equations; global asymptotical stability; neural networks; Asymptotic stability; Circuits and systems; Delay; Equations; Mathematics; Neural networks; Neurons; Stability criteria; Symmetric matrices; Writing; Asymptotical stability; Lyapunov functional; delay equations; neural networks;
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2004.842023
Filename
1417084
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