| 参数未知的分数阶混沌系统的自适应同步 |
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| 引用本文： | 靳庆生,李庶民.参数未知的分数阶混沌系统的自适应同步[J].科技信息,2013(11):48-49,104. |
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| 作者姓名： | 靳庆生 李庶民 |
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| 作者单位： | [1]昆明消防指挥学校,云南昆明650208 [2]昆明理工大学理学院数学系,云南昆明650093 |
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| 基金项目： | 此文为国家自然科学基金项目研究成果.项目编号11061016. |
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| 摘 要： | 针对一类混沌系统,研究了参数未知的混沌系统的自适应同步。以分数阶混沌系统的稳定性定理和混沌系统间的自适应反馈控制为基础,通过设置未知参数的辨识规则和构造恰当的线性反馈控制器,从而实现了参数未知的分数阶Chen混沌系统同给定信号的分数阶Chen混沌系统的追踪控制与同步。通过数值仿真证实了该方法的有效性。
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| 关 键 词： | 自适应反馈控制 混沌同步 自适应同步 |
Adaptive Synchronization of Fractional-order Chaotic Systems with Unknown Parameters |
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| JIN Qing-sheng,LI Shu-min.Adaptive Synchronization of Fractional-order Chaotic Systems with Unknown Parameters[J].Science,2013(11):48-49,104. |
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| Authors: | JIN Qing-sheng LI Shu-min |
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| Institution: | 1. Kunming Fire Services Training School of Ministry of Public Security, Kunming Yunnan, 650208, China; 2. Department of Applied Mathematics, Kunming University of Science And Technology, Kunming Yunnan, 650093, China) |
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| Abstract: | This paper investigates adaptive synchronization of fractional-order chaotic systems with unknown parameters for a class of chaotic systems. Based on the ideas of linear feedback contral and the stability theory of fractionel-order systems, a parameter estimation update law and a new linear feedback controller are designed. Tracking control and synchronization of fractional chaotic Chen system is realized. Numerical siroulations are presented to demonstrate the analytical results. |
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| Keywords: | Adaptive feedback control Chaos synchronization Adaptive synchronization |
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