Pinning synchronization of fractional-order delayed complex networks with non-delayed and delayed couplings

This paper considers the global synchronization of fractional-order delayed complex networks with non-delayed and delayed couplings based on pinning control. With the help of comparison theorems for fractional-order linear systems with multiple time delays, some novel and useful synchronisation crit...

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Bibliographic Details
Published in:International journal of control 2017-06, Vol.90 (6), p.1245-1255
Main Authors: Chen, Liping, Wu, Ranchao, Chu, Zhaobi, He, Yigang, Yin, Lisheng
Format: Article
Language:English
Subjects:
complex network
Controllers
Couplings
delay
Error feedback
Feedback control
fractional-order system
Linear systems
Mathematical analysis
Mathematical models
Matrix methods
Synchronisation
Synchronism
Time synchronization
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Summary:This paper considers the global synchronization of fractional-order delayed complex networks with non-delayed and delayed couplings based on pinning control. With the help of comparison theorems for fractional-order linear systems with multiple time delays, some novel and useful synchronisation criteria are presented by adding linear error feedback controllers to certain selected nodes. Here, the coupling matrices need not be symmetric or irreducible. What is more, it is shown that the model and results in the paper are more general than those in the literature. A numerical example is given to demonstrate the effectiveness and feasibility of the obtained results.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2016.1278268