Function projective lag synchronization of fractional-order chaotic systems

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

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

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