Stochastic quasi-synchronization for delayed dynamical networks via intermittent control

2012 ◽  
Vol 17 (3) ◽  
pp. 1332-1343 ◽  
Author(s):  
Lijun Pan ◽  
Jinde Cao
Keyword(s):  
Intermittent Control ◽  
Dynamical Networks ◽  
Delayed Dynamical Networks

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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