| 一类超混沌离散系统的控制 |
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| 引用本文： | 陈立群,刘曾荣.一类超混沌离散系统的控制[J].应用数学和力学,2001,22(7):661-665. |
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| 作者姓名： | 陈立群 刘曾荣 |
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| 作者单位： | 1.上海大学力学系, 上海 200072; |
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| 基金项目： | 国家自然科学基金资助项目(19872044) |
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| 摘 要： | 研究一类超混沌离散系统的控制问题.基于局部线性化建立了时变线性反馈控制律.采用Liapunov直接法估计了控制律可以有效作用的邻域范围.分别给出了应用该控制律解决不稳定周期轨道的镇定问题和任意给定周期轨道的追踪问题的算例.
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| 关 键 词： | 控制混沌 超混沌映射 Liapunov直接法 镇定 追踪 |
| 文章编号： | 1000-0887(2001)07-0661-05 |
| 收稿时间： | 2000-03-03 |
| 修稿时间： | 2000年3月3日 |
Control of a Hyperchaotic Discrete System |
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| CHEN Li_qun ,LIU Zeng_rong.Control of a Hyperchaotic Discrete System[J].Applied Mathematics and Mechanics,2001,22(7):661-665. |
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| Authors: | CHEN Li_qun LIU Zeng_rong |
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| Institution: | 1.Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;2.Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China |
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| Abstract: | The Control of a hyperchaotic discrete system is investigated. A time_varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit. |
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| Keywords: | controlling chaos hyperchaotic map Liapunov direct method stabilization tracking |
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