Pinning control of successive lag synchronization on a dynamical network with noise perturbation

Author(s):  
Mengchen Wang ◽  
Xiaowen Lu ◽  
Qi Yang ◽  
Zhongjun Ma ◽  
Jun Cheng ◽  
...  
2014 ◽  
Vol 24 (3) ◽  
pp. 257-270 ◽  
Author(s):  
Bohui Wen ◽  
Mo Zhao ◽  
Fanyu Meng

Abstract This paper investigates the pinning synchronization of two general complex dynamical networks with lag. The coupling configuration matrices in the two networks are not need to be symmetric or irreducible. Several convenient and useful criteria for lag synchronization are obtained based on the lemma of Schur complement and the Lyapunov stability theory. Especially, the minimum number of controllers in pinning control can be easily obtained. At last, numerical simulations are provided to verify the effectiveness of the criteria


2014 ◽  
Vol 79 (4) ◽  
pp. 2659-2666 ◽  
Author(s):  
Weigang Sun ◽  
Shuai Wang ◽  
Guanghui Wang ◽  
Yongqing Wu

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Shuguo Wang ◽  
Hongxing Yao

This paper mainly investigates the lag synchronization of nonlinear coupled complex networks using methods that are based on pinning control, where the weight configuration matrix is not necessarily symmetric or irreducible. We change the control strength into a parameter concerning timet, by using the Lyapunov direct method, some sufficient conditions of lag synchronization are obtained. To validate the proposed method, numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.


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