| 一类新分数阶系统的混沌控制方法 |
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| 引用本文： | 张培,乔宗敏.一类新分数阶系统的混沌控制方法[J].合肥联合大学学报,2013(1):12-16. |
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| 作者姓名： | 张培 乔宗敏 |
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| 作者单位： | [1]安徽大学数学科学学院,合肥230601 [2]合肥师范学院数学系,合肥230601 |
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| 基金项目： | 安徽省高等学校自然科学基金项目（2010A285）资助. |
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| 摘 要： | 混沌的同步和控制是混沌领域的一个重要研究课题，而分数阶混沌系统开始逐渐引起广泛的关注．主要研究了一类新的分数阶系统的混沌控制方法，在分数阶线性系统平衡点渐近稳定性理论的基础上，通过反馈控制方法得到该分数阶系统混沌控制器的一个设计方案，并利用预估校正方法进行数值模拟，验证了方案的有效性．
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| 关 键 词： | 分数阶系统 混沌系统 混沌控制 |
A Control Approach of a New Fractional Ordered Dynamical System |
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| Authors: | ZHANG Pei QIAO Zong-min |
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| Institution: | 1. School of Mathematical Sciences, Anhui University, Hefei 230601 ; 2. Department of Mathematics, Hefei Normal University, Hefei 230601, China) |
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| Abstract: | The synchronization and control of chaotic system is an important aspect of dynamical system. The chaotic dynamics of fractional ordered systems have attracted much attention rencently. The paper considered the control approach of a new fractional ordered dynamical system. Based on the stability of linear fractional systems, utilizing variable feedback control method, the control approach of a new fractional ordered dynamical system was given. By using predictor-corrector numerical methods and simulations on the new fractional ordered dynamical system and controlled systems were presented to verify the results. |
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| Keywords: | fractional ordered system chaotic dynamics chaos control |
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