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超混沌Rossler系统和超混沌Lorenz系统的全状态混合投影同步
引用本文:张群娇.超混沌Rossler系统和超混沌Lorenz系统的全状态混合投影同步[J].动力学与控制学报,2009,7(2):148-152.
作者姓名:张群娇
作者单位:武汉科技学院理学院,武汉,430073
基金项目:湖北省教育厅科学技术研究项目,国家自然科学基金 
摘    要:用两种不同的方法一主动控制法和自适应控制法实现超混沌Rossler系统和超混沌Lorenz系统的异结构全状态混合投影同步,各自设计了不同的控制器,使得响应系统与驱动系统同步.当参数已知时,采用主动控制法,方法简单有效且不需要构造Lyapunov函数,实现同步的时间短;当系统参数部分未知或完全未知时,基于Lyapunov稳定性理论,给出自适应同步控制器的系统性设计过程和参数自适应律,使得系统间迅速达到同步.数值模拟验证了两种方法的有效性.

关 键 词:超混沌Rossler系统  超混沌Lorenz系统  主动控制  自适应控制  全状态混合投影同步
收稿时间:2008/12/2 0:00:00
修稿时间:2008/12/30 0:00:00

Full state projective synchroniza of hyperchaoticr ssler system and hyperchaotic lorenz system
Zhang QunJiao.Full state projective synchroniza of hyperchaoticr ssler system and hyperchaotic lorenz system[J].Journal of Dynamics and Control,2009,7(2):148-152.
Authors:Zhang QunJiao
Affiliation:Zhang QunJiao ( College of Science, Wuhan University of Science and Engineering, Wuhan 430073 )
Abstract:Two different methods - active control method and adaptive method were presented to study the full state hybrid projective synchronization between hyperchaotic Rossler system and hyperchaotic Lorenz system with different structures. Three kinds of different controllers were designed for synchronizing drive system and response system. When the parameters are all known in advance, active control method is utilized, without constructing Lyapunov function,which can realize the synchronization easily. When the parameters are partly or fully unknown, suitable controllers and adaptive laws of parameters are given based on Lyapunov stability theory, which make the different systems achieve synchronization quickly. Numerical simulations show the effectiveness and feasibility of these methods.
Keywords:hyperchaotic Rossler system  hyperchaotic Lorenz system  active control  adaptive control  full state hybrid projective synchronization
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