摘要
针对两个不同超混沌系统的反同步问题进行了研究,分别采用两种控制方法,为响应系统设计了适当的控制器,以达到两个超混沌系统之间的反同步.提出了一种特殊反对称结构,基于此给出了反同步控制器的直接构造法;针对主动控制法设计控制器的盲目性,引入了判定矩阵负定的简化方法,给出了实现反同步的主动控制法.最后,对超混沌Chen系统和超混沌Lorenz系统之间的反同步进行数值仿真,结果说明了这两种设计方法的有效性.
The anti-synchronization problem between two different hyper-chaotic systems is studied. Two different control methods are used to design proper controllers for the response system to realize the anti-synchronization. A special antisymmetric structure is proposed, and based on it, the direct design method is given to design the anti-synchronization controller. To prevent the controller design hy active control method from indiscrimination, a simplified judging method of negative definite matrix is introduced to give the anti-synchronization active design of controller. A numerical simulation was done for the anti-synchronization between hyper-chaotic Chen system and hyper-chaotic Lorenz system, and the results verified the effectiveness of both the direct design method and active control method.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第3期313-317,共5页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(60274009)
国家高技术研究发展计划项目(2004AA412030)
关键词
超混沌系统
反同步
直接构造法
主动控制法
反对称结构
hyper-chaotic system
anti-synchronization
direct design method
active control method
antisymmetric structure
