Globally Exponential Stability for Delayed Neural Networks Under Impulsive Control

2010 ◽  
Vol 31 (2) ◽  
pp. 105-127 ◽  
Author(s):  
Cheng Hu ◽  
Haijun Jiang ◽  
Zhidong Teng
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Impulsive Control ◽  
Delayed Neural Networks ◽  
Globally Exponential Stability

On exponential stability of delayed neural networks with a general class of activation functions

2002 ◽  
Vol 298 (2-3) ◽  
pp. 122-132 ◽  
Author(s):  
Changyin Sun ◽  
Kanjian Zhang ◽  
Shumin Fei ◽  
Chun-Bo Feng
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
General Class ◽  
Activation Functions ◽  
Delayed Neural Networks

GLOBAL EXPONENTIAL STABILITY OF FUZZY INTERVAL DELAYED NEURAL NETWORKS WITH IMPULSES ON TIME SCALES

2009 ◽  
Vol 19 (06) ◽  
pp. 449-456 ◽  
Author(s):  
YONGKUN LI ◽  
TIANWEI ZHANG
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Equilibrium Point ◽  
Time Scales ◽  
Global Exponential Stability ◽  
Lyapunov Method ◽  
Delayed Neural Networks ◽  
The Neural Networks ◽  
Uniqueness Of Equilibrium ◽  
Fuzzy Interval

In this paper, we investigate the existence and uniqueness of equilibrium point for fuzzy interval delayed neural networks with impulses on time scales. And we give the criteria of the global exponential stability of the unique equilibrium point for the neural networks under consideration using Lyapunov method. Finally, we present an example to illustrate that our results are effective.

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