Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations

2009 ◽  
Vol 10 (3) ◽  
pp. 1651-1661 ◽  
Author(s):  
Lihong Huang ◽  
Jiafu Wang ◽  
Xiangnan Zhou
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Periodic Solutions ◽  
Global Asymptotic Stability ◽  
Hopfield Neural Networks ◽  
Discontinuous Activations

Stability for Hopfield Neural Networks With Time Delay

2002 ◽  
Vol 8 (1) ◽  
pp. 13-18 ◽  
Author(s):  
Linshan Wang ◽  
Daoyi Xu
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Asymptotic Stability ◽  
Equilibrium Point ◽  
Global Asymptotic Stability ◽  
Sufficient Conditions ◽  
Hopfield Neural Networks ◽  
Unique Equilibrium ◽  
Transmission Delays

In this paper, the global asymptotic stability of the equilibrium point of Hopfield neural networks with interneuronal transmission delays is studied. Some sufficient conditions related to the existence of a unique equilibrium point and its global asymptotic stability are derived.

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