Author:
Chen Zhi-Wang ,Wang Jing ,Pang Shuang-Jie , , ,
Abstract
In this paper, a kind of PIα controller is designed for the synchronization of fractional order hyperchaotic Chen system. The controller is designed according to the fractional order hyperchaotic Chen system. The stability of the system is proved by the improved double parameter Mittag-Leffler function estimate theorem and the extended Gronwall lemma. Furthermore, the condition of controller parameters is pointed out which makes the fractional order hyperchaotic Chen system synchronous. Numerical simulations are presented to verify the effectiveness of the method.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference19 articles.
1. Wang J A, Liu H P 2010 Acta Phys. Sin. 59 2265 (in Chinese) [王健安, 刘贺平 2010 物理学报 59 2265]
2. Cai G L, Huang J J 2006 Acta Phys. Sin. 55 3997 (in Chinese) [蔡国梁, 黄娟娟 2006 物理学报 55 3997]
3. Yuan F G 2012 Commun. Nonlinear Sci. Numer. Simulat 17 2602
4. Li D, Deng L M, Du Y X, Yang Y Y 2012 Acta Phys. Sin. 61 050502 (in Chinese) [李东, 邓良明, 杜永霞, 杨媛媛 2012物理学报 61 050502]
5. Podlubny I 1999 IEEE Transactions on Automatic Control 44 208
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