| Lorenz混沌系统的线性同步控制 |
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| 引用本文： | 姜玉秋.Lorenz混沌系统的线性同步控制[J].长春邮电学院学报,2011(6):571-575. |
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| 作者姓名： | 姜玉秋 |
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| 作者单位： | 吉林师范大学数学学院,吉林四平13600 |
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| 基金项目： | 国家自然科学基金资助项目（10726062） |
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| 摘 要： | 为解决系统参数相同但初值不同的两个Lorenz系统的同步问题，将其误差系统分成两个子系统。基于小增益定理，采用线性反馈控制方法实现了Lorenz系统的混沌同步问题，给出了Lorenz系统实现同步的条件以及控制参数的取值范围。并通过数值仿真验证了该方法对混沌同步的有效性。
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| 关 键 词： | 混沌同步 Lorenz混沌系统 小增益定理 |
Linear Synchronization for Lorenz Chaotic System |
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| JIANG Yu-qiu.Linear Synchronization for Lorenz Chaotic System[J].Journal of Changchun Post and Telecommunication Institute,2011(6):571-575. |
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| Authors: | JIANG Yu-qiu |
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| Affiliation: | JIANG Yu-qiu (College of Mathematics, Jilin Normal University, Siping 136000, China) |
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| Abstract: | In order to solve the problem of synchronization of two Lorenz system with different initial value pa- rameters, and the error system is divided into two subsystem. Based on the small gain theorem and linear feed- back method, synchronization of a chaotic system called Lorenz chaotic system is studied. The sufficient condi- tions and range of the controller＇s parameter of Lorenz chaotic systems are derived. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization. |
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| Keywords: | chaotic synchronization Lorenz chaotic system the small gain theorem |
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