Cluster synchronization in community networks with nonidentical nodes via edge-based adaptive pinning control

2014 ◽  
Vol 351 (3) ◽  
pp. 1372-1385 ◽  
Author(s):  
Zhaoyan Wu ◽  
Xinchu Fu
2012 ◽  
Vol 2012 ◽  
pp. 1-17
Author(s):  
Yi Zhao ◽  
Jianwen Feng ◽  
Jingyi Wang

The cluster synchronization of linearly coupled complex networks with identical and nonidentical nodes is studied. Without assuming symmetry, we proved that these linearly coupled complex networks could achieve cluster synchronization under certain pinning control schemes. Sufficient conditions guaranteeing cluster synchronization for any initial values are derived by using Lyapunov function methods. Moreover, the adaptive feedback algorithms are proposed to adjust the control strength. Several numerical examples are given to illustrate our theoretical results.


2019 ◽  
Vol 513 ◽  
pp. 742-749 ◽  
Author(s):  
Chengren Li ◽  
Ling Lü ◽  
Gang Li ◽  
Guannan Zhao ◽  
Liyu Gao ◽  
...  

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