Title :
Global asymptotic stability of a general class of Hopfield neural networks with time-varying delays
Author :
Fu, Chaojin ; Li, Dahu ; Chen, Shuping
Author_Institution :
Coll. of Math. & Stat., Hubei Normal Univ., Huangshi, China
Abstract :
In this paper, we address the problem of a unique equilibrium point and present global asymptotic stability for Hopfield neural networks with time-varying delays. By constructing a Lyapunov functional, a new stability criterion for the network is established in terms of differential inequality technique. Finally, an illustrative numerical example is included to show the effectiveness of proposed criterion.
Keywords :
Hopfield neural nets; Lyapunov methods; asymptotic stability; delays; Hopfleld neural networks; Lyapunov functional; differential inequality technique; equilibrium point; global asymptotic stability; time varying delays; Artificial neural networks; Asymptotic stability; Delay; Neurons; Numerical stability; Stability criteria;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765240
