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Chin. Phys. B, 2014, Vol. 23(4): 040502    DOI: 10.1088/1674-1056/23/4/040502
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Function projective lag synchronization of fractional-order chaotic systems

Wang Shaa, Yu Yong-Guanga, Wang Hua, Ahmed Rahmanib
a Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China;
b LAGIS UMR 8219 CNRS, Ecole Centrale de Lille, 59651 Villeneuve d'Ascq, France
Abstract  Function projective lag synchronization of different structural fractional-order chaotic systems is investigated. It is shown that the slave system can be synchronized with the past states of the driver up to a scaling function matrix. According to the stability theorem of linear fractional-order systems, a nonlinear fractional-order controller is designed for the synchronization of systems with the same and different dimensions. Especially, for two different dimensional systems, the synchronization is achieved in both reduced and increased dimensions. Three kinds of numerical examples are presented to illustrate the effectiveness of the scheme.
Keywords:  fractional order      chaos      function projective lag synchronization  
Received:  29 March 2013      Revised:  23 May 2013      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11371049) and the Science Foundation of Beijing Jiaotong University (Grant Nos. 2011JBM130 and 2011YJS076).
Corresponding Authors:  Wang Sha     E-mail:  saya1016@yahoo.cn
About author:  05.45.Xt; 05.45.Gg

Cite this article: 

Wang Sha, Yu Yong-Guang, Wang Hu, Ahmed Rahmani Function projective lag synchronization of fractional-order chaotic systems 2014 Chin. Phys. B 23 040502

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