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Chin. Phys. B, 2014, Vol. 23(4): 040501    DOI: 10.1088/1674-1056/23/4/040501
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Robust H cluster synchronization analysis of Lurie dynamical networks

Guo Linga, Nian Xiao-Hongb, Pan Huanc, Bing Zhi-Tongd
a College of Electrical Engineering, Northwest University for Nationalities, Lanzhou 730030, China;
b College of Information Science and Engineering, Central South University, Changsha 410075, China;
c College of Physics Electrical Information Engineering, Ningxia University, Yinchuan 750021, China;
d Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Abstract  The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with external disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchronized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.
Keywords:  cluster synchronization      Lurie dynamics network      H performance      time-varying delay  
Received:  07 July 2013      Revised:  24 September 2013      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Jn (High-dimensional chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61075065, 60774045, and U1134108), the Talent Introduction Scientific Research Foundation of Northwest University for Nationalities (Grant No. xbmuyjrc201304), and the Foundation for Young Talents of Gansu Province, China (Grant No. 1208RJYA013).
Corresponding Authors:  Guo Ling     E-mail:  gling0826@126.com
About author:  05.45.Gg; 05.45.Jn; 05.45.Pq

Cite this article: 

Guo Ling, Nian Xiao-Hong, Pan Huan, Bing Zhi-Tong Robust H cluster synchronization analysis of Lurie dynamical networks 2014 Chin. Phys. B 23 040501

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