Asymptotic Stability of Second-Order Discrete-Time Hopfield Neural Networks with Variable Delays

2006 ◽  
pp. 261-266
Author(s):  
Wei Zhu ◽  
Daoyi Xu
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Second Order ◽  
Hopfield Neural Networks ◽  
Variable Delays

scholarly journals On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Qiang Zhang ◽  
Xiaopeng Wei ◽  
Jin Xu
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Discrete Time ◽  
Global Exponential Stability ◽  
Stability Result ◽  
Hopfield Neural Networks ◽  
Difference Inequality ◽  
Variable Delays

Global exponential stability of a class of discrete-time Hopfield neural networks with variable delays is considered. By making use of a difference inequality, a new global exponential stability result is provided. The result only requires the delay to be bounded. For this reason, the result is milder than those presented in the earlier references. Furthermore, two examples are given to show the efficiency of our result.

scholarly journals On asymptotic stability of discrete-time non-autonomous delayed Hopfield neural networks

2009 ◽  
Vol 57 (11-12) ◽  
pp. 1938-1942 ◽  
Author(s):  
Xiaopeng Wei ◽  
Dongsheng Zhou ◽  
Qiang Zhang
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Hopfield Neural Networks

Multistability of discrete-time delayed Cohen–Grossberg neural networks with second-order synaptic connectivity

2015 ◽  
Vol 164 ◽  
pp. 252-261 ◽  
Author(s):  
Wu Yang ◽  
Yan-Wu Wang ◽  
Zhi-Gang Zeng ◽  
Ding-Fu Zheng
Keyword(s):  
Neural Networks ◽  
Discrete Time ◽  
Second Order ◽  
Synaptic Connectivity

scholarly journals A broad class of discrete-time hypercomplex-valued Hopfield neural networks

2020 ◽  
Vol 122 ◽  
pp. 54-67 ◽  
Author(s):  
Fidelis Zanetti de Castro ◽  
Marcos Eduardo Valle
Keyword(s):  
Neural Networks ◽  
Discrete Time ◽  
Broad Class ◽  
Hopfield Neural Networks
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