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分数阶T系统的动力学及反馈控制 被引量:5

Dynamic Analysis of Fractional-order T System and Its Feedback Control
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摘要 对混沌T系统的分数阶情形,基于分数阶Routh-Hurwitz准则,得到了系统平衡点的稳定性准则.通过线性反馈控制方法,实现了该分数阶系统的混沌控制,将混沌吸引子控制到不稳定平衡点,并通过数值例子说明获得结果的有效性. Fractional-order T system was considered.Stability criterion of equilibrium was established in virtue of fractional Routh-Hurwitz criteria.Moreover,chaotic attractor was controlled to equilibrium by using the linear feedback control method,and numerical examples were given.
作者 庄科俊
出处 《佳木斯大学学报(自然科学版)》 CAS 2012年第5期780-782,共3页 Journal of Jiamusi University:Natural Science Edition
基金 安徽省自然科学基金青年项目(1208085QA11) 安徽省高校省级自然科学研究项目(KJ2012B002)
关键词 分数阶 混沌 T系统 反馈控制 fractional order chaotic T system feedback control
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参考文献2

  • 1E. Ahmed, A. M. A. El - Sayed, Hala A.A. El - Saka. On Some Routh - Hurwitz Conditions for Fractional Order Differen- tial Equations and Their Applications in Lorenz, Rssler, Chua and Chen Systems[ J]. Physics Letters A, 2006, 358:1 -4.
  • 2CHEN Yong,YAN Zhen-Ya.Chaos Control in a New Three-Dimensional Chaotic T System[J].Communications in Theoretical Physics,2008,49(4):951-954. 被引量:5

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