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参数未知的统一超混沌系统自适应反同步
引用本文:阿布都热合曼·卡的尔,王兴元,赵玉章. 参数未知的统一超混沌系统自适应反同步[J]. 物理学报, 2011, 60(11): 110510-110510. DOI: 10.7498/aps.60.110510
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. 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:61173183, 60973152,60573172)、高等学校博士学科点专项科研基金(批准号:20070141014 )、辽宁省自然科学基金(批准号:20082165)和新疆少数民族科技人才特殊培养计划科研项目(批准号:201123116)资助的课题.
摘    要:文章研究了参数未知的统一超混沌系统的控制与同步问题.首先基于Lyapunov稳定性理论,设计了自适应控制器,证明了该控制器可使参数未知统一超混沌系统渐近稳定于不动点.其次使用自适应反同步方法,设计了自适应同步控制器,实现了参数未知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自适应反同步

关 键 词:统一超混沌系统  自适应控制器  自适应反同步
收稿时间:2011-01-25
修稿时间:2011-03-03

Adaptive anti-synchronization of unified hyperchaotic system with fully unknown parameters
Abdurahman Kadir,Wang Xing-Yuan and Zhao Yu-Zhang. Adaptive anti-synchronization of unified hyperchaotic system with fully unknown parameters[J]. Acta Physica Sinica, 2011, 60(11): 110510-110510. DOI: 10.7498/aps.60.110510
Authors:Abdurahman Kadir  Wang Xing-Yuan  Zhao Yu-Zhang
Affiliation: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:In this paper, We investigate the adaptive anti-synchronization in a unified hyperchaotic system with unknown parameters. First, according to the Lyapunov stability theory, We achieve an adaptive controller and show that the controller can make a unified hyperchaotic system with unknown parameters asymptotically stable at a fixed point. Second, by the adaptive anti-synchronization method, We design an adaptive anti-synchronous controller and thereby achieve the hyperchaotic system synchronization. Finally, numerical simulations show the effectiveness of the scheme.
Keywords:unified hyperchaotic system  adaptive control  adaptive anti-synchronization
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