Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems

doi:10.1088/1674-1056/21/3/030505

中国物理B ›› 2012, Vol. 21 ›› Issue (3): 30505-030505.doi: 10.1088/1674-1056/21/3/030505

张若洵¹ ²,杨世平¹

收稿日期:2011-08-02 修回日期:2011-10-17 出版日期:2012-02-15 发布日期:2012-02-15
通讯作者: 杨世平,yangship@mail.hebtu.edu.cn E-mail:yangship@mail.hebtu.edu.cn

Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems

Zhang Ruo-Xun(张若洵)^{a) b)} and Yang Shi-Ping(杨世平)^a)†

a. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;
b. College of Elementary Education, Xingtai University, Xingtai 054001, China

Received:2011-08-02 Revised:2011-10-17 Online:2012-02-15 Published:2012-02-15
Contact: Yang Shi-Ping,yangship@mail.hebtu.edu.cn E-mail:yangship@mail.hebtu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2010000343).

摘要/Abstract

Abstract: We investigate the synchronization of a class of incommensurate fractional-order chaotic systems, and propose a modified adaptive controller for fractional-order chaos synchronization based on the Lyapunov stability theory, the fractional order differential inequality, and the adaptive strategy. This synchronization approach is simple, universal, and theoretically rigorous. It enables the synchronization of0 fractional-order chaotic systems to be achieved in a systematic way. The simulation results for the fractional-order Qi chaotic system and the four-wing hyperchaotic system are provided to illustrate the effectiveness of the proposed scheme.

Key words: synchronization, modified adaptive controller, incommensurate fractional-order chaotic system

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

张若洵, 杨世平. [J]. 中国物理B, 2012, 21(3): 30505-030505.

Zhang Ruo-Xun(张若洵) and Yang Shi-Ping(杨世平) . Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems[J]. Chin. Phys. B, 2012, 21(3): 30505-030505.

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Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems

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