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首页> 外文期刊>Mathematical Problems in Engineering >Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure
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Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure

机译：尺寸或结构相同或不同的不确定超混沌动力系统的自适应修正函数投影滞后同步

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摘要

Modified function projective lag synchronization (MFPLS) of uncertain hyperchaotic dynamical systems with the same or different dimensions and structures is studied. Based on Lyapunov stability theory, a general theorem for controller designing, parameter update rule designing, and control gain strength adapt law designing is introduced by using adaptive control method. Furthermore, the scheme is applied to four typical examples: MFPLS between two five-dimensional hyperchaotic systems with the same structures, MFPLS between two four-dimensional hyperchaotic systems with different structures, MFPLS between a four-dimensional hyperchaotic system and a three-dimensional chaotic system and MFPLS between a novel three-dimensional chaotic system, and a five-dimensional hyperchaotic system. And the system parameters are all uncertain. Corresponding numerical simulations are performed to verify and illustrate the analytical results.
机译：研究了具有相同或不同尺寸和结构的不确定超混沌动力学系统的修正函数投影滞后同步（MFPLS）。基于李雅普诺夫稳定性理论，采用自适应控制方法介绍了控制器设计，参数更新规则设计和控制增益强度自适应律设计的一般性定理。此外，该方案被应用于四个典型示例：具有相同结构的两个五维超混沌系统之间的MFPLS，具有不同结构的两个四维超混沌系统之间的MFPLS，四个维超混沌系统和三维混沌之间的MFPLS系统和MFPLS之间的关系是新型的三维混沌系统和五维超混沌系统。并且系统参数都是不确定的。进行了相应的数值模拟，以验证和说明分析结果。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第7期|282064.1-282064.15|共15页
  • 作者

    Xiuli Chai; Zhihua Gan; Chunxiao Shi;

  • 作者单位

    College of Computer and Information Engineering, Institute of Image Processing and Pattern Recognition,Henan University, Kaifeng 475004, China;

    Department of Software, Institute of Intelligent Network System, Henan University, Kaifeng 475004, China;

    College of Computer and Information Engineering, Institute of Image Processing and Pattern Recognition,Henan University, Kaifeng 475004, China;

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