Function projective lag synchronization of fractional-order chaotic systems

doi:10.1088/1674-1056/23/4/040502

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 40502-040502.doi: 10.1088/1674-1056/23/4/040502

Function projective lag synchronization of fractional-order chaotic systems

王莎^a, 于永光^a, 王虎^a, Ahmed Rahmani^b

a Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China;
b LAGIS UMR 8219 CNRS, Ecole Centrale de Lille, 59651 Villeneuve d'Ascq, France

收稿日期:2013-03-29 修回日期:2013-05-23 出版日期:2014-04-15 发布日期:2014-04-15
基金资助:
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).

Function projective lag synchronization of fractional-order chaotic systems

Wang Sha (王莎)^a, Yu Yong-Guang (于永光)^a, Wang Hu (王虎)^a, Ahmed Rahmani^b

a Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China;
b LAGIS UMR 8219 CNRS, Ecole Centrale de Lille, 59651 Villeneuve d'Ascq, France

Received:2013-03-29 Revised:2013-05-23 Online:2014-04-15 Published:2014-04-15
Contact: Wang Sha E-mail:saya1016@yahoo.cn
About author:05.45.Xt; 05.45.Gg
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: fractional order, chaos, function projective lag synchronization

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.

Key words: fractional order, chaos, function projective lag synchronization

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

王莎, 于永光, 王虎, Ahmed Rahmani. Function projective lag synchronization of fractional-order chaotic systems[J]. 中国物理B, 2014, 23(4): 40502-040502.

Wang Sha (王莎), Yu Yong-Guang (于永光), Wang Hu (王虎), Ahmed Rahmani. Function projective lag synchronization of fractional-order chaotic systems[J]. Chin. Phys. B, 2014, 23(4): 40502-040502.

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Function projective lag synchronization of fractional-order chaotic systems

Function projective lag synchronization of fractional-order chaotic systems

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