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

作　　者：柴秀丽[1] 武相军[2] 

机构地区：[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

出　　处：《计算机应用》2013年第3期734-738,共5页journal of Computer Applications

基　　金：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)

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。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 Larenz-Stenflo （LS） system and hyperchaotic Lfi 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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]