Cluster synchronization for discrete-time complex networks

Authors:
Huiwei Wang;Qiankun Song
Affiliations:
College of Information Science & Engineering, Chongqing Jiaotong University, Chongqing, China;Department of Mathematics, Chongqing Jiaotong University, Chongqing, China
Venue:
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Year:
2011

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Abstract

This paper investigates cluster synchronization in discretetime complex networks with both discrete and distributed time-varying delays. By utilizing a special coupling matrix and the Kronecker product, it is shown that the addressed discrete-time complex networks is achieved cluster synchronization if certain linear matrix inequality (LMI) is feasible. Finally, an example is given to demonstrate the effectiveness of the proposed criterion.