| 参数未知超混沌Lorenz系统的反同步研究 |
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| 引用本文： | 江浩,褚衍东,郭丽峰,刘开明.参数未知超混沌Lorenz系统的反同步研究[J].温州大学学报(社会科学版),2008(5):7-12. |
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| 作者姓名： | 江浩 褚衍东 郭丽峰 刘开明 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金（50474008） |
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| 摘 要： | 通过自适应控制法设计合适的控制器和参数自适应律，实现含未知参数的超混沌Lorenz系统的反同步控制，并利用Lyapunov稳定性理论证明了反同步误差系统是全局渐近稳定的。Maflab数值仿真结果表明，所选择的控制器和参数自适应律能有效地实现超混沌系统的反同步。
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| 关 键 词： | 超混沌Lorenz系统 反同步 自适应控制 |
Study on Anti-synchronization in Hyperchaotic Lorenz System with Unknown Parameters |
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| JIANG Hao,CHU Yandong,GUO Lifeng,LIU Kaiming.Study on Anti-synchronization in Hyperchaotic Lorenz System with Unknown Parameters[J].Journal of Wenzhou University Natural Science,2008(5):7-12. |
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| Authors: | JIANG Hao CHU Yandong GUO Lifeng LIU Kaiming |
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| Institution: | (School of Mathematics, Physics and Software Engineer, Lanzhou Jiaotong University, Lanzhou, China 730070) |
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| Abstract: | This paper presents anti-synchronization of Hyperchaotic Lorenz system. Suitable nonlinear controller and adaptive law of parameters are designed to realize the anti-synchronization by the adaptive controlling method. By means of Lyapunov stability theory, it is proved that the dynamics of the anti-synchronization error is globally and asymptotically stable. Numerical simulations by Matlab are provided to demonstrate the validity of the proposed nonlinear controller and the adaptive law of parameters for achieving the anti-synchronization. |
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| Keywords: | Hyperchaotic Lorenz system Anti-synchronization Adaptive controlling |
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