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不确定混沌系统自适应改进投影同步与参数估计
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O415.5[理学—理论物理;理学—物理]
  • 作者机构：[1]西北工业大学理学院应用数学系,西安710072
  • 相关基金：国家自然科学基金（10872165;10472091;10702065）.
作者： 李战国[1], 徐伟[1]
关键词： 新混沌系统, Genesio-Tesi混沌系统, 改进投影同步, 自适应律, 有界噪声, new chaotic system, Genesio-Tesi chaotic system, modified projective synchronization, adaptive law, bounded noise
中文摘要：

研究一类新混沌系统与Genesio-Tesi混沌系统的改进投影同步，并对新混沌系统未知参数进行估计。依据主动控制原理，设计了非线性控制器和参数白适应更新律，用Lyapunov稳定性理论证明了误差系统原点的渐进稳定性。数值仿真结果验证丫设计的非线性控制器和参数自适应更新律的有效性及其在有界噪声干扰下的鲁棒性。

英文摘要：

A modified projective synchronization between a new chaotic system and a Genesio-Tesi chaotic system is investigated, and the unknown parameters of the new chaotic system are also estimated. The nonlinear controller and the parameter adaptive updating law are successfully designed according to the active control principle. Moreover, a strict proof of the asymptotic stability of the origin for the error system is derived by the Lyapunov stability theory. The effectiveness and the robustness under a bounded noises disturbance of the proposed nonlinear controller and the parameters adaptive updating law are validated through numerical simulations.

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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
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  • 被引量:6741