| 基于区间系统理论的分数阶混沌系统同步 |
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| 引用本文： | 孙宁. 基于区间系统理论的分数阶混沌系统同步[J]. 物理学报, 2011, 60(12): 120506-120506. DOI: 10.7498/aps.60.120506 |
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| 作者姓名： | 孙宁 |
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| 作者单位： | 东北大学信息科学与工程学院,沈阳 110819 |
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| 基金项目： | 国家自然科学基金(批准号:60804006,50977008,60821063,61034005)、国家高技术研究发展计划(批准号:2009AA04Z127)和国家重点基础研究发展计划(批准号:2009CB320601)资助的课题. |
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| 摘 要： | 通过设计一个非线性反馈控制器,实现了分数阶混沌系统的同步.与其他的分数阶混沌系统同步方法相比,提出的控制器设计方法保留了部分误差系统中的非线性项,而没有完全抵消同步误差系统的非线性项,有效改善了误差系统的控制性能.同时,应用区间分数阶线性时不变系统稳定性原理和线性矩阵不等式技术,得到了一个新的分数阶混沌系统同步的充分条件,进而获得的控制器保证了混沌系统同步.仿真结果验证了提出方法的有效性.关键词：区间分数阶时不变系统分数阶混沌系统混沌同步
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| 关 键 词： | 区间分数阶时不变系统 分数阶混沌系统 混沌同步 |
| 收稿时间： | 2011-03-03 |
| 修稿时间： | 2011-07-01 |
Synchronization of fractional chaotic systems based on fractional-order interval systems |
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| Sun Ning. Synchronization of fractional chaotic systems based on fractional-order interval systems[J]. Acta Physica Sinica, 2011, 60(12): 120506-120506. DOI: 10.7498/aps.60.120506 |
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| Authors: | Sun Ning |
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| Affiliation: | School of Information Science and Engineering, Northeastern University, Shenyang 110819, China |
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| Abstract: | Synchronization of fractional-order chaotic systems is investigated by designing a novel nonlinear feedback controller. Compared with the previous reports, the controlled synchronization error system does not need to turn into a linear system and the performance is improved effectively. Furthermore, a novel sufficient stabilization criterion for fractional-order chaotic systems is proposed by introducing a stabilization criterion of an interval fractional-order linear time-invariant system and using the linear matrix inequality technique. Consequently, the chaotic synchronization is ensured. The simulation result verifies the effectiveness of the proposed method. |
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| Keywords: | interval fractional-order time-invariant system fractional-order chaotic system chaotic synchronization |
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