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
Keyword(s):  
Pinning Control ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Delayed Dynamical Networks ◽  
Two Hybrid

scholarly journals Pinning Cluster Synchronization in Linear Hybrid Coupled Delayed Dynamical Networks

2016 ◽  
Vol 2016 ◽  
pp. 1-14
Author(s):  
Anping Bao ◽  
Ting Wang ◽  
Shumin Fei ◽  
Xiaomin Tian
Keyword(s):  
Control Strategy ◽  
Kronecker Product ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Pinning Control ◽  
Cluster Synchronization ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Dynamical Networks ◽  
Delayed Dynamical Networks

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.

scholarly journals Pinning Controllability Scheme of Directed Complex Delayed Dynamical Networks via Periodically Intermittent Control

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Shaolin Li ◽  
Jinde Cao ◽  
Yinghui He
Keyword(s):  
Theoretical Analysis ◽  
Coupling Strength ◽  
Pinning Control ◽  
Directed Network ◽  
Intermittent Control ◽  
Constraint Condition ◽  
Dynamical Networks ◽  
Control Scheme ◽  
Low Dimensional ◽  
Delayed Dynamical Networks

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.

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