Title :
A unifying group of global asymptotical stability of neural networks with delay
Author :
Wu, Chai Wah ; Huang, Ying Sue
Author_Institution :
T.J. Watson Res. Center, IBM, Yorktown Heights, NY, USA
Abstract :
We present 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 functional; delay; global asymptotical stability; neural networks; Asymptotic stability; Electronic mail; Equations; Mathematics; Neural networks; Neurons; Stability criteria; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1328684