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Synchronization of fractional-order unified chaotic system via linear control

Authors :
Yang Shi-Ping
Liu Yong-Li
Zhang Ruo-Xun
Source :
Acta Physica Sinica. 59:1549
Publication Year :
2010
Publisher :
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences, 2010.

Abstract

Chaos synchronization in fractional-order unified chaotic system is disscussed in this paper. Based on the stability theory of fractional-order system, the control law is presented to achieve chaos synchronization. The advantage of the proposed controllers is that they are linear and have lower dimensions than that of the states. With this technique it is very easy to find the suitable feedback constant. Simulation results for fractional-order Lorenz, Lü and Chen chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

Details

ISSN :
10003290
Volume :
59
Database :
OpenAIRE
Journal :
Acta Physica Sinica
Accession number :
edsair.doi...........85cd85d8518ef04e0d1bc71491c83bf4
Full Text :
https://doi.org/10.7498/aps.59.1549