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统一超混沌系统的投影同步
引用本文:阿布都热合曼·卡的尔,王兴元,赵玉章.统一超混沌系统的投影同步[J].物理学报,2011,60(4):40506-040506.
作者姓名:阿布都热合曼·卡的尔  王兴元  赵玉章
作者单位:(1)大连理工大学电子信息与电气工程学部,大连 116024; (2)大连理工大学电子信息与电气工程学部,大连 116024;新疆财经大学计算机科学与工程学院,乌鲁木齐 830012; (3)新疆财经大学计算机科学与工程学院,乌鲁木齐 830012
基金项目:国家自然科学基金(批准号:60973152,60573172),高等学校博士学科点专项科研基金(批准号:20070141014 ) 和辽宁省自然科学基金(批准号:20082165)资助的课题.
摘    要:利用两种方法研究了统一超混沌系统的同步问题.首先以全状态混合投影自适应同步方法,基于Lyapunov稳定性理论,设计了自适应控制器,理论证明了该控制器可以实现参数已知的统一超混沌系统的全状态混合映射同步.其次使用主动控制同步方法,设计了同步控制器,实现了统一超混沌系统的完全同步,最后数值仿真实验进一步验证了所提出方案的有效性. 关键词: 统一超混沌系统 自适应控制器 全状态混合投影同步 主动控制同步

关 键 词:统一超混沌系统  自适应控制器  全状态混合投影同步  主动控制同步
收稿时间:2010-03-16
修稿时间:7/7/2010 12:00:00 AM

Projective synchronization for unified hyperchaotic system
Abdurahman Kadir,Wang Xing-Yuan,Zhao Yu-Zhang.Projective synchronization for unified hyperchaotic system[J].Acta Physica Sinica,2011,60(4):40506-040506.
Authors:Abdurahman Kadir  Wang Xing-Yuan  Zhao Yu-Zhang
Institution:Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;School of Computer Science and Engineering, Xinjiang University of Finance and Economics, Urumchi 830012, China;Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;School of Computer Science and Engineering, Xinjiang University of Finance and Economics, Urumchi 830012, China
Abstract:The projective synchronization in the unified hyperchaotic system using two control method is studied in this paper. Based on the Lyapunov stability theory, the full state hybrid projective synchronization is achieved via an adaptive controller. It is proved theoretically that the controller can make the states of the dynamical system and the response system with known parameters achieve the asymptotically full state hybrid projective synchronization. An active controller is designed to achieve the projective synchronization. Finally, Numerical simulations show the effectiveness of the two schemes.
Keywords:unified hyperchaotic system  adaptive control  full state hybrid projective synchronization  active control
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