一类参数未知超混沌系统的广义函数投影滞后同步

doi:10.3724/SP.J.1087.2013.00734

计算机应用 ›› 2013, Vol. 33 ›› Issue (03): 734-738.DOI: 10.3724/SP.J.1087.2013.00734

一类参数未知超混沌系统的广义函数投影滞后同步

柴秀丽^1*,武相军²

1.河南大学图像处理与模式识别研究所,河南开封 475004;
2.河南大学复杂网络系统研究所,河南开封 475004

收稿日期:2012-09-28 修回日期:2012-10-30 出版日期:2013-03-01 发布日期:2013-03-01
通讯作者: 柴秀丽
作者简介:柴秀丽(1980-),女,河南遂平人,副教授,博士,主要研究方向:超混沌系统的控制与同步; 武相军(1980-),男,河南安阳人,副教授,博士,主要研究方向:混沌复杂网络、混沌保密通信。
基金资助:
国家自然科学基金资助项目(61004006); 河南省科技厅基础与前沿技术研究计划项目(112300410009); 河南省科技攻关项目(122102210053); 河南省教育厅自然科学研究计划项目(12A460001)。

Generalized function projective lag synchronization of a class of hyperchaotic systems with fully uncertain parameters

CHAI Xiuli^1*, WU Xiangjun2

1.Institute of Image Processing and Pattern Recognition, Henan University, Kaifeng Henan 475004, China;
2.Institute of Complex Intelligent Network System, Henan University, Kaifeng Henan 475004, China

Received:2012-09-28 Revised:2012-10-30 Online:2013-03-01 Published:2013-03-01

摘要/Abstract

摘要： 混沌系统同步问题的研究是混沌保密通信技术研究的重要理论基础。针对函数投影同步中对时滞现象研究较少的问题,基于Lyapunov稳定性定理和自适应控制方法,设计了相应的自适应控制器和参数更新规则,实现了一类超混沌系统之间的广义函数投影滞后同步,以超混沌LS系统和超混沌Lü系统为例,验证理论的正确性和有效性,同时分析了外加噪声干扰和延时对同步控制效果的影响。数值仿真结果证实了所提方法的有效性、可行性和鲁棒性。

关键词: 函数投影滞后同步, 混沌保密通信, 自适应控制, 超混沌LS系统, 超混沌Lü系统

Abstract: Chaos synchronization is the essential theoretical basis of chaotic secure communication. Since time delay of function projective synchronization had rarely been considered, the adaptive controllers and parameter update laws were designed based on Lyapunov stability theory and adaptive control method, and generalized function projective lag synchronization of a class of hyperchaotic system was achieved. Then, taking hyperchaotic Lorenz-Stenflo (LS) system and hyperchaotic Lü system with fully uncertain parameters as an example the correctness and effectiveness of the method was varified, and the influence of external disturbance and time delay on the effect of the synchronization control were studied. The numerical simulations show the effectiveness, feasibility and robustness of the proposed method.

Key words: function projective lag synchronization, chaotic secure communication, adaptive control, hyperchaotic Lorenz-Stenflo (LS) system, hyperchaotic Lü, system

中图分类号:

TP273

柴秀丽武相军. 一类参数未知超混沌系统的广义函数投影滞后同步[J]. 计算机应用, 2013, 33(03): 734-738.

CHAI Xiuli WU Xiangjun. Generalized function projective lag synchronization of a class of hyperchaotic systems with fully uncertain parameters[J]. Journal of Computer Applications, 2013, 33(03): 734-738.

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一类参数未知超混沌系统的广义函数投影滞后同步

Generalized function projective lag synchronization of a class of hyperchaotic systems with fully uncertain parameters

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