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基于三种方法的新Lü混沌系统的同步
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O193[理学—数学;理学—基础数学]
  • 作者机构：[1]大连理工大学电子信息与电气工程学部,大连116024
  • 相关基金：国家自然科学基金（批准号：60573172 60973152）; 高等学校博士学科点专项基金（批准号：20070141014）; 辽宁省自然科学基金（批准号：20082165）资助的课题
作者： 王兴元[1], 朱全龙[1], 张晓鹏[1]
关键词： 混沌同步, 状态观测器, 主动控制, Backstepping, chaos synchronization, observer synchronization, active control, backstepping
中文摘要：

分别用状态观测器法、主动控制法和Backstepping法研究了含有常数项的新Lü混沌系统的自同步问题.针对非严格反馈的新Lü混沌系统,分别基于以上三种方法设计了自适应控制器,依据Lyapunov稳定性原理证明了这些控制器能够较好地实现新Lü混沌系统的渐近自同步.数值仿真实验进一步验证了以上三种同步方法的有效性.经对三种同步方法比较分析,发现基于状态观测器的同步方法更加灵活高效.

英文摘要：

In this paper we study the chaos synchronization of a new Lü chaotic system containing constants via three methods,i.e.,state observer,active control method,and backstepping method.Based on the above three methods,the we design an adaptive controller according to the Lyapunov stability theory which proves that the controller can well realize the asymptotical synchronization between two identical systems.Through numerical simulation,we further verify the effectiveness and the advantage of the above three synchronization methods.The synchronization method based on state observer is believed to be more flexible and efficient through the comparative analysis of three kinds of synchronization methods.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876