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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Hai-Long Li,Jian-Xiang Xi,Yao-Qing Cao,Duo-Sheng Wu.Synchronization of High-order Discrete-time Linear Complex Networks with Time-varying Delays[J].Journal of Harbin Institute Of Technology(New Series),2014,21(3):46-51.DOI:10.11916/j.issn.1005-9113.2014.03.007.
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Synchronization of High-order Discrete-time Linear Complex Networks with Time-varying Delays
Author NameAffiliation
Hai-Long Li Xi’an Research Institute of High Technology, Xi’an 710025, China 
Jian-Xiang Xi Xi’an Research Institute of High Technology, Xi’an 710025, China 
Yao-Qing Cao Xi’an Research Institute of High Technology, Xi’an 710025, China 
Duo-Sheng Wu Xi’an Research Institute of High Technology, Xi’an 710025, China 
Abstract:
Synchronization of high-order discrete-time complex networks with undirected topologies is studied and the impacts of time delays are investigated. Firstly, by the state decomposition, synchronization problems are transformed into asymptotic stability ones of multiple lower dimensional time-delayed subsystems. Then, linear matrix inequality (LMI) criteria for synchronization are given, which can guarantee the scalability of complex networks since they only include three LMI constraints independent of the number of agents. Moreover, an explicit expression of the synchronization function is presented, which can describe the synchronization behavior of all agents in complex networks. Finally, a numerical example is given to demonstrate the theoretical results, where it is shown that if the gain matrices of synchronization protocols satisfy LMI criteria for synchronization, synchronization can be achieved.
Key words:  synchronization  complex network  time-varying delay  linear matrix inequality
DOI：10.11916/j.issn.1005-9113.2014.03.007
Clc Number:TP39
Fund:

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