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一类Hlder连续的混沌系统分析和控制
  • ISSN号：1000-5781
  • 期刊名称：《系统工程学报》
  • 时间：0
  • 分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]天津大学系统工程研究所,天津300072
  • 相关基金：国家自然科学基金资助项目（61004015）; 教育部博士点新教师基金资助项目（20090032120034）
作者： 张建雄[1], 唐万生[1]
关键词： 混沌系统, Hlder连续, 线性反馈, 同步, chaotic system, Hlder continuity, linear feedback, synchronization
中文摘要：

构造了新的三维连续时间混沌系统.该系统含有两个参数和一个非线性项,其中的非线性项满足1/2阶Hlder连续但不满足Lipschitz连续性条件.通过理论分析和数值仿真研究了系统的动力学特性.此外,利用线性状态反馈对此混沌系统进行了控制,实现了系统的全局镇定.通过分段线性状态反馈方法对新混沌系统的同步进行了研究,实现了系统的全局同步.

英文摘要：

This paper presents a class of 3 dimensional new chaotic systems.The new systems contain two system parameters and a nonlinear term which does not satisfy Lipschitz continuity but satisfies 1/2-Hlder continuity condition.The complicated dynamics are studied through theoretical analysis and numerical simulation.The chaos control and synchronization of the new systems via linear state feedback and piecewise linear state feedback are investigated respectively,and the corresponding systems can be stabilized or synchronized,globally.

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期刊信息
  • 《系统工程学报》
  • 北大核心期刊（2014版）
  • 主管单位:中国科协
  • 主办单位:中国系统工程学会
  • 主编：唐万生
  • 地址：天津市卫津路92号
  • 邮编：300072
  • 邮箱：jsetju@263.net
  • 电话：022-27403197
  • 国际标准刊号：ISSN：1000-5781
  • 国内统一刊号：ISSN：12-1141/O1
  • 邮发代号:6-95
  • 获奖情况:
  • 国内外数据库收录:
  • 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）
  • 被引量:14850