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利用单个状态变量同步广义Lorenz系统 被引量:3

Synchronization for Generalized Lorenz Chaotic System Using Single State Variable
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摘要 根据广义Lorenz混沌系统的具体结构和Lyapunov稳定性理论,将主系统的第1个状态变量作为驱动变量,分别利用线性反馈控制、自适应控制和非线性反馈控制实现了2个相同的广义Lorenz混沌系统的同步,数值仿真结果表明了这些同步控制方法的有效性和可行性。 According to the structure of the generalized Lorenz chaotic system and Lyapunov stability theory, linear feedback control, adaptive control and nonlinear feedback control are applied respectively to synchronize two identical generalized Lorenz chaotic systems by taking the first state variable of the master system as driving variable. Numerical simulations are presented to show the effectiveness and feasibility of these synchronization methods.
出处 《武汉理工大学学报》 EI CAS CSCD 北大核心 2007年第5期120-124,共5页 Journal of Wuhan University of Technology
基金 湖北省教育厅科学技术研究项目(D200560001) 国家自然科学基金(60474011)
关键词 同步 广义Lorenz混沌系统 状态变量 synchronization generalized Lorenz chaotic system state variable
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参考文献8

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同被引文献25

  • 1王绍明,王安福.Liu混沌系统的单状态变量控制与同步[J].江西师范大学学报(自然科学版),2007,31(3):285-288. 被引量:5
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  • 5Hegazi A S, Agiza H N, EI-Dessoky M M. Adaptive synchronization for Rossler and Chua' s circuit system [ J ]. Int J Bifur Chaos, 2002 (7) : 1579-1597.
  • 6Wang Y W,Guan Z H,Wang H O. Feedback and adaptive control for the synchronization of Chen system via a single variable[J]. Phys Lett A,2003,312:34-40.
  • 7Yassen M T. Adaptive control and synchronization of a modified Chua' s circuit system [ J ]. Applied Mathematics and Computation, 2003,135 : 113-128.
  • 8Lu J A, Wu X Q, Han X P, et al. Adaptive feedback synchronization of a unified chaotic system [ J ]. Phys Lett A,2004,329:327- 333.
  • 9Han X P, Lu J A, WuX Q. Adaptive feedback synchronization of Lusystem [ J ]. Chaos, Solitons and Fractals,2004,22:221-227.
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