| 含有未知参数的广义Lorenz系统的自适应投影同步 |
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| 引用本文： | 胡千里,李大美.含有未知参数的广义Lorenz系统的自适应投影同步[J].三峡大学学报(自然科学版),2012,34(4):89-93. |
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| 作者姓名： | 胡千里 李大美 |
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| 作者单位： | 1. 清华大学数学系,北京,100084
2. 武汉大学数学与统计学院,武汉,430072 |
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| 摘 要： | 研究了含有未知参数的广义Lorenz系统的自适应投影同步问题.对于参数完全未知的情形,提出了4种控制器设计策略,实现了两个广义Lorenz系统间的自适应投影同步,对于响应系统参数未知的情形,通过本文设计的控制器,可以实现广义Lorenz系统中两个拓扑不等价的系统之间的同步,同时未知参数可以被识别.数值仿真结果说明了方法的有效性.
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| 关 键 词： | 自适应投影同步 广义Lorenz系统 未知参数 |
Adaptive Projective Synchronization of a Generalized Lorenz System with Unknown Parameters |
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| Hu Qianli
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Li Damei.Adaptive Projective Synchronization of a Generalized Lorenz System with Unknown Parameters[J].Journal of China Three Gorges University(Natural Sciences),2012,34(4):89-93. |
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| Authors: | Hu Qianli Li Damei |
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| Institution: | 1. Department of Mathematical Sciences, Tsinghua Univ. , Beijing 100084, China;2. School of Mathematics and Statistics, Wuhan Univ., Wuhan 430072, China) |
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| Abstract: | The adaptive projective synchronization of a generalized Lorenz system（GLS） with unknown pa-rameters is studied. The system contains the Lorenz system, the Chen system, the Lti system and the unified system as its special cases. Four controlling strategies are proposed to realize synchronization with fully un-known parameters. For the response system with unknown parameters, through the authors＇ method, the synchronization of two topologically in-equivalent systems containing in the generalized system can be real- izedl meanwhile, the unknown parameters can be identified. Numerical simulations show the effectiveness of the authors＇ method. |
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| Keywords: | adaptive projective synchronization generalized Lorenz system unknown parameters |
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