Title :
Improved Sufficient Conditions for Global Asymptotic Stability of Delayed Neural Networks
Author :
Wu, Wei ; Cui, Bao Tong
Author_Institution :
Southern Yangtze Univ., Wuxi
fDate :
7/1/2007 12:00:00 AM
Abstract :
This brief addresses the global asymptotic stability (GAS) of delayed neural networks. Based on the Lyapunov method, using some existing results for the existence and uniqueness of the equilibrium point, some sufficient conditions are obtained for checking the GAS without demanding the boundedness and differentiability hypotheses for activation functions. Through comparison, it is illustrated that our conditions extend and improve some recent results.
Keywords :
Lyapunov methods; asymptotic stability; neural nets; Lyapunov functional; delayed neural networks; global asymptotic stability; Asymptotic stability; Cellular neural networks; Delay effects; Hopfield neural networks; Neural networks; Neurofeedback; Output feedback; State feedback; Sufficient conditions; Symmetric matrices; Delayed neural networks; Lyapunov functional; equilibrium point; global asymptotic stability (GAS);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.895329
