| 精确配置离散动力系统的所有Lyapunov指数 |
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| 引用本文： | 陈旭,丘水生.精确配置离散动力系统的所有Lyapunov指数[J].物理学报,2010,59(11):7630-7634. |
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| 作者姓名： | 陈旭 丘水生 |
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| 作者单位： | 华南理工大学电子与信息学院,广州 510640 |
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| 基金项目： | 华南理工大学自然科学基金(批准号:E5090790),华南理工大学中央高校基本科研业务费专项资金(批准号:D2103410)资助的课题. |
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| 摘 要： | 针对给定的确定性离散时间动力学系统,提出一种可以精确配置受控系统所有Lyapunov指数的混沌控制与反控制新方法.本文不限制给定系统的具体形式,仅利用取模运算和预设的一组Lyapunov指数,设计出一种新的状态反馈控制器.在控制器的作用下,受控系统的Lyapunov指数与预设的Lyapunov指数一致.控制器的形式简单,可以用于解决混沌控制和混沌反控制两种问题.给出了数学证明和两个实例,仿真结果显示了算法的有效性.
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| 关 键 词： | 离散时间系统 混沌反控制 混沌控制 Lyapunov指数配置 |
| 收稿时间： | 2010-01-28 |
Precise placement of all Lyapunov exponents for discrete-time dynamical systems |
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| Chen Xu,Qiu Shui-Sheng.Precise placement of all Lyapunov exponents for discrete-time dynamical systems[J].Acta Physica Sinica,2010,59(11):7630-7634. |
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| Authors: | Chen Xu Qiu Shui-Sheng |
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| Institution: | School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China;School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | In this paper, a new algorithm for all Lyapunov Exponents precisely configuraling a discrete-time dynamical system is proposed. A given deterministic discrete-time dynamical system can be chaotified by the algorithm. A new feed-back controller is designed via moduling operation. All Lyapunov Exponents of the controlled system are equal to a given set of ones. The new controller is simple and can be used to control or anti-control a chaotic system . The corresponding proof as well as two illustrative examples are presented. The simulation results show the effectiveness of the algorithm. |
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| Keywords: | discrete-time dynamical system anticontrol of chaos control of chaos Lyapunov exponents placement |
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