| 一类分数阶混沌系统的自适应同步 |
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| 引用本文： | 马铁东,江伟波,浮洁,柴毅,陈立平,薛方正. 一类分数阶混沌系统的自适应同步[J]. 物理学报, 2012, 61(16): 160506-160506 |
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| 作者姓名： | 马铁东 江伟波 浮洁 柴毅 陈立平 薛方正 |
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| 作者单位： | 1. 重庆大学自动化学院,重庆,400044
2. 重庆大学光电工程学院 光电技术及系统教育部重点实验室,重庆,400044 |
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| 基金项目： | 国家自然科学基金(批准号: 61104080); 重庆市自然科学基金(批准号:CSTC, 2010BB2238); 教育部博士点基金(批准号: 20100191120025); 中国博士后科学基金(批准号: 20100470813,20100480043)和中央高校基本科研业务费(批准号: CDJXS12170005)资助的课题. |
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| 摘 要： | 针对一类分数阶混沌系统的同步问题,基于分数阶系统的类Lyapunov稳定性理论,设计了一种新的自适应同步控制器以及控制增益系数自适应律.与现有结果相比,该方法具有控制器结构简单、控制代价小以及通用性强等特点,可适用于大部分典型的分数阶混沌系统.最后,数值仿真结果验证了所提方法运用于分数阶混沌系统同步研究的有效性.
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| 关 键 词： | 混沌同步 分数阶混沌系统 自适应同步 |
| 收稿时间： | 2011-12-19 |
Adaptive synchronization of a class of fractional-order chaotic systems |
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| Ma Tie-Dong,Jiang Wei-Bo,Fu Jie,Chai Yi,Chen Li-Ping,Xue Fang-Zheng. Adaptive synchronization of a class of fractional-order chaotic systems[J]. Acta Physica Sinica, 2012, 61(16): 160506-160506 |
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| Authors: | Ma Tie-Dong Jiang Wei-Bo Fu Jie Chai Yi Chen Li-Ping Xue Fang-Zheng |
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| Affiliation: | 1. College of Automation, Chongqing University, Chongqing 400044, China;2. Key Laboratory of Optoelectronic Technology and System, Ministry of Education, College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China |
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| Abstract: | In view of chaos synchronization of a class of fractional-order chaotic systems, a novel adaptive controller and adaptive updating law are designed based on the quasi-Lyapunov stability theory for fractional-order systems. The derived method has some advantages such as simple structure, low control cost and high generality compared with the existing results. Furthermore, the method can be applied to most typical fractional-order chaotic systems. Finally, numerical simulations are used to illustrate the effectiveness of the proposed synchronization method. |
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| Keywords: | chaos synchronization fractional-order chaotic systems adaptive synchronization |
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