A novel study for impulsive synchronization of fractional-order chaotic systems

doi:10.1088/1674-1056/22/6/060510

中国物理B ›› 2013, Vol. 22 ›› Issue (6): 60510-060510.doi: 10.1088/1674-1056/22/6/060510

A novel study for impulsive synchronization of fractional-order chaotic systems

刘金桂

Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China

收稿日期:2012-10-04 修回日期:2012-12-08 出版日期:2013-05-01 发布日期:2013-05-01
基金资助:
Project supported by Scientific Research Foundation of Huaiyin Institute of Technology (Grant No. HGA1102).

A novel study for impulsive synchronization of fractional-order chaotic systems

Liu Jin-Gui (刘金桂)

Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China

Received:2012-10-04 Revised:2012-12-08 Online:2013-05-01 Published:2013-05-01
Contact: Liu Jin-Gui E-mail:liujg2004@126.com
Supported by:
Project supported by Scientific Research Foundation of Huaiyin Institute of Technology (Grant No. HGA1102).

摘要/Abstract

摘要： The stability of impulsive fractional-order systems is discussed. A new synchronization criterion of fractional-order chaotic systems is proposed based on the stability theory of impulsive fractional-order systems. The synchronization criterion is suitable for the case of the order 0 < q ≤ 1. It is more general than those of the known results. Simulation results are given to show the effectiveness of the proposed synchronization criterion.

关键词: fractional-order, chaotic systems, impulsive synchronization, Gronwall-Bellman's inequality

Abstract: The stability of impulsive fractional-order systems is discussed. A new synchronization criterion of fractional-order chaotic systems is proposed based on the stability theory of impulsive fractional-order systems. The synchronization criterion is suitable for the case of the order 0 < q ≤ 1. It is more general than those of the known results. Simulation results are given to show the effectiveness of the proposed synchronization criterion.

Key words: fractional-order, chaotic systems, impulsive synchronization, Gronwall-Bellman's inequality

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

刘金桂. A novel study for impulsive synchronization of fractional-order chaotic systems[J]. 中国物理B, 2013, 22(6): 60510-060510.

Liu Jin-Gui (刘金桂). A novel study for impulsive synchronization of fractional-order chaotic systems[J]. Chin. Phys. B, 2013, 22(6): 60510-060510.

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A novel study for impulsive synchronization of fractional-order chaotic systems

A novel study for impulsive synchronization of fractional-order chaotic systems

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