A New LMI-Based Stability Criteria for Delayed Cellular Neural Networks

2009 ◽  
pp. 347-356
Author(s):  
Yanjun Shen ◽  
Linguo Zhang ◽  
Yong Zhang
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Stability Criteria

NOVEL STABILITY CRITERIA FOR DELAYED CELLULAR NEURAL NETWORKS

2003 ◽  
Vol 13 (05) ◽  
pp. 367-375 ◽  
Author(s):  
JINDE CAO ◽  
JUN WANG ◽  
XIAOFENG LIAO
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Lyapunov Method ◽  
Equilibrium Points ◽  
Cellular Neural Networks ◽  
Sufficient Condition ◽  
Unique Equilibrium ◽  
Stability Criteria ◽  
Output Stability

In this paper, a new sufficient condition is given for the global asymptotic stability and global exponential output stability of a unique equilibrium points of delayed cellular neural networks (DCNNs) by using Lyapunov method. This condition imposes constraints on the feedback matrices and delayed feedback matrices of DCNNs and is independent of the delay. The obtained results extend and improve upon those in the earlier literature, and this condition is also less restrictive than those given in the earlier references. Two examples compared with the previous results in the literatures are presented and a simulation result is also given.

Sign in / Sign up

Export Citation Format

Share Document