| 分数阶Rucklidge混沌系统的同步研究 |
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| 引用本文： | 陈保颖,张家军,苑占江.分数阶Rucklidge混沌系统的同步研究[J].动力学与控制学报,2010,8(3):234-238. |
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| 作者姓名： | 陈保颖 张家军 苑占江 |
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| 作者单位： | 1. 广东工业大学应用数学学院,广州,510006;中山大学数学与计算科学学院,广州,510275
2. 中山大学数学与计算科学学院,广州,510275 |
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| 基金项目： | 广东工业大学校青年基金 |
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| 摘 要： | 主要讨论了分数阶混沌系统的同步问题.采用线性以及自适应控制两种不同的方案实现了分数阶Rucklidge系统的混沌同步.这两种方案均具有结构简单、易于实现的特点.而且,基于分数阶微分方程稳定性理论,可以保证同步是全局渐近稳定的.最后,数值结果证明了两种方案的可行性.
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| 关 键 词： | 混沌同步 分数阶混沌系统 线性反馈 自适应控制 |
| 收稿时间： | 2010/3/27 0:00:00 |
| 修稿时间： | 2010/5/27 0:00:00 |
Synchronization of chaotic fractional order Rucklidge systems |
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| Chen Baoying,Zhang Jiajun and Yuan Zhanjiang.Synchronization of chaotic fractional order Rucklidge systems[J].Journal of Dynamics and Control,2010,8(3):234-238. |
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| Authors: | Chen Baoying Zhang Jiajun and Yuan Zhanjiang |
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| Affiliation: | Chen Baoying1,2 Zhang Jiajun2 Yuan Zhanjiang2(1.Department of Applied Mathematics,Guangdong University of Technology,Guangzhou 510275,China)(2.Department of Mathematics,Zhongshan University,China) |
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| Abstract: | The synchronization problem of fractional-order chaotic systems was studied. Three different kinds of schemes based on nonlinear feedback control, linear feedback control and adaptive control were proposed to synchronize chaotic fractional-order Rucklidge systems. Moreover, the globally asymptotic stability for such synchronization was derived by utilizing the stability theory of the fractional-order differential equations. Finally, Numerical simulations were presented to verify the effectiveness of such sc... |
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| Keywords: | chaos synchronization fractal-order chaotic system linear feedback control adaptive control |
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