摘要
由于许多混沌系统是Lure系统,因此近年来开始对基于Lure混沌系统的同步问题的研究。采用M-矩阵方法和Lyapunov函数方法以及时滞反馈控制技术研究了一般Lure混沌系统的指数同步问题,得到了易于检验的指数同步的代数判据,而且对其Lyapunov指数进行了估计。由此可设计出这种混沌同步方案的反馈控制器。最后,给出了例子加以说明。
Many chaotic systems are Lur抏 systems. Recently,researchers have started to study the chaos synchronization based on Lur抏 chaotic systems. This paper studies exponential synchronization problem for the general Lur抏 chaotic systems based on the M-matrix approach,Lyapunov function method and feedback control technique. Some fairly simple exponential synchronization algebraic criteria are established for verification,facilitating the design of such controllers for synchronization scheme and the estimation of the Lyapunov exponent. Finally,some examples are given to illustrate the applications of the proposed approach.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2003年第3期326-329,共4页
Systems Engineering and Electronics
基金
国家自然科学基金(60274007)
国家教育部博士点基金项目(20010487005)资助课题