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用负的状态反馈量控制和同步Lorenz系统
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O231.2[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]武汉大学数学与统计学院,湖北武汉430072, [2]武汉科技学院理学院,湖北武汉430073
  • 相关基金：Supported by the National Natural Science Foundation of China（No. 60574045）
作者： 张群娇[1,2], 陆君安[1]
关键词： 混沌控制, 同步, Lorenz系统, 负反馈, chaos control, synchronization, Lorenz system, negative feedback
中文摘要：

本文研究了Lorenz系统的控制与同步问题.利用负状态反馈的方法和Lyapunov稳定性理论,得到了能保证系统渐近稳定和同步的有关反馈增益的一些充分条件.最后,数值实验证实了理论分析的结果.

英文摘要：

This paper investigates the chaos control and synchronization of Lorenz system.Based on the negative state feedback method and Lyapunov stability theory,some sufficient conditions about the negative feedback gains are derived to guarantee the asymptotical stability and synchronization.Finally,some numerical simulations are given to verify the theoretical analysis.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910