Outer synchronization between two hybrid-coupled delayed dynamical networks via aperiodically adaptive intermittent pinning control

Complexity ◽  
2016 ◽  
Vol 21 (S2) ◽  
pp. 593-605 ◽  
Author(s):  
Shuiming Cai ◽  
Xuqiang Lei ◽  
Zengrong Liu
2016 ◽  
Vol 2016 ◽  
pp. 1-14
Author(s):  
Anping Bao ◽  
Ting Wang ◽  
Shumin Fei ◽  
Xiaomin Tian

The problem on cluster synchronization will be investigated for a class of delayed dynamical networks based on pinning control strategy. Through utilizing the combined convex technique and Kronecker product, two sufficient conditions can be derived to ensure the desired synchronization when the designed feedback controller is employed to each cluster. Moreover, the inner coupling matrices are unnecessarily restricted to be diagonal and the controller design can be converted into solving a series of linear matrix inequalities (LMIs), which greatly improve the present methods. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservatism.


2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Shaolin Li ◽  
Jinde Cao ◽  
Yinghui He

This paper studies the pinning controllability of directed complex delayed dynamical networks by using periodic intermittent control scheme. The general and low-dimensional pinning synchronization criteria are derived to illustrate the design of periodic intermittent control scheme. According to our low-dimensional pinning criterion, especially, the constraint condition of coupling strength is obtained when the network structure and amounts of pinned nodes are fixed. An algorithm is presented to determine the amounts of periodically intermittent controllers and locate these intermittent controllers in a directed network, in which the significance of nodes out- (in-) degree in pinning control of complex network is also illustrated. Finally, a directed network consisting of 12 coupled delayed Chua oscillators is designed as numerical example to verify the effectiveness of the theoretical analysis.


Sign in / Sign up

Export Citation Format

Share Document