Title :
Stability Analysis of Continuous Hopfield Neural Networks with Delay
Author :
Cong, Jin ; Wang, Shihui
Author_Institution :
Dept. of Comput. Sci., Central China Normal Univ., Wuhan
Abstract :
In this paper, by constructing a new Lyapunov functional, problem of the global asymptotic stability is discussed for the continuous Hopfield neural networks with delays. A simple and new sufficient condition is obtained ensuring existence, uniqueness of the equilibrium point and its global asymptotic stability of the neural networks. This condition can be used to design globally asymptotic stable networks and thus have important significance in both theory and applications
Keywords :
Hopfield neural nets; Lyapunov methods; asymptotic stability; delays; Lyapunov functional; continuous Hopfield neural networks; delays; global asymptotic stability; stability analysis; Asymptotic stability; Computer science; Delay effects; Differential equations; Electronic mail; Hopfield neural networks; Neural networks; Recurrent neural networks; Stability analysis; Sufficient conditions;
Conference_Titel :
Neural Networks and Brain, 2005. ICNN&B '05. International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-9422-4
DOI :
10.1109/ICNNB.2005.1614678
