Cluster Synchronization on CDNs with Proportional Delay: Impulsive Effect Method

2021 ◽  
pp. 9-35
Author(s):  
Ze Tang ◽  
Dong Ding ◽  
Yan Wang ◽  
Zhicheng Ji ◽  
Ju H. Park
Keyword(s):  
Cluster Synchronization ◽  
Proportional Delay ◽  
Impulsive Effect ◽  
Effect Method

scholarly journals Exponential Cluster Synchronization of Neural Networks with Proportional Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Nian Feng ◽  
Ye Wu ◽  
Weiping Wang ◽  
Lin Zhang ◽  
Jinghua Xiao
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Adaptive Controller ◽  
Cluster Synchronization ◽  
Proportional Delay ◽  
Time Varying ◽  
Equivalent System ◽  
Constant Delay ◽  
Proportional Delays ◽  
Inequality Technique

Exponential cluster synchronization of neural networks with proportional delays is studied in this paper. Unlike previous constant delay or bounded time delay, we consider the time-varying proportional delay is unbounded, less conservative, and more widely applied. Furthermore, we designed a novel adaptive controller based on Lyapunov function and inequality technique to achieve exponential cluster synchronization for neural networks and by using a unique way of equivalent system we proved the main conclusions. Finally, an example is given to illustrate the effectiveness of our proposed method.

The periodic n-species Gilpin–Ayala competition system with impulsive effect

2005 ◽  
Vol 26 (2) ◽  
pp. 507-517 ◽  
Author(s):  
Shuwen Zhang ◽  
Dejun Tan ◽  
Lansun Chen
Keyword(s):  
Impulsive Effect ◽  
Competition System
Sign in / Sign up

Export Citation Format

Share Document