| 基于秩一摄动理论配置Lyapunov指数的新方法 |
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| 引用本文： | 于永进,陈旭,程学珍.基于秩一摄动理论配置Lyapunov指数的新方法[J].控制理论与应用,2017,34(7):980-985. |
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| 作者姓名： | 于永进 陈旭 程学珍 |
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| 作者单位： | 山东科技大学电气与自动化工程学院,山东科技大学电气与自动化工程学院,山东科技大学电气与自动化工程学院 |
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| 摘 要： | 本文提出一种混沌控制与反控制的新算法。利用秩一摄动理论精确摄动离散受控系统矩阵的特征值，来配置Lyapunov指数。新算法完全吻合混沌的Lyapunov指数判据。既能更准确地配置正的Lyapunov指数，又能配置传统算法无法获得的负Lyapunov指数。仿真结果显示了新算法的有效性。
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| 关 键 词： | Lyapunov指数，秩一摄动，混沌控制，混沌反控制 |
| 收稿时间： | 2016/2/19 0:00:00 |
| 修稿时间： | 2017/4/5 0:00:00 |
A New Method of Placing Lyapunov Exponents Via Rank One Perturbation |
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| YU Yong-jin,Chen Xu and CHEN Xue-Zhen.A New Method of Placing Lyapunov Exponents Via Rank One Perturbation[J].Control Theory & Applications,2017,34(7):980-985. |
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| Authors: | YU Yong-jin Chen Xu and CHEN Xue-Zhen |
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| Affiliation: | College of Electical Engineering and Automation, Shandong University of Science and Techonology,College of Electical Engineering and Automation, Shandong University of Science and Techonology,College of Electical Engineering and Automation, Shandong University of Science and Techonology |
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| Abstract: | Lyapunov exponents are important metrics to determine chaos in discrete systems. A new algorithm configuring Lyapunov exponents is proposed for chaos control and chaos anti-control. By introducing specific types of feedback and modulus operations, the algorithm uses eigenvalues of the system matrix via rank one perturbations theory to configure Lyapunov exponents. The proposed algorithm is inline with the Lyapunov exponent criterion for chaos. The proposed algorithm is able to accurately configure the positive Lyapunov exponents of chaos control, and the negative Lyapunov exponents that cannot be obtained in traditional algorithms. The simulation results illustrate the effectiveness of the proposed algorithm. |
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| Keywords: | Lyapunov exponent rank one perturbation chaos control chaos anti-control |
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