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
fDate :
4/1/2005 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.842023