时滞混沌系统的脉冲同步  

Impulsive synchronization for time-delayed chaotic system

作　　者：樊春霞[1] 

机构地区：[1]南京邮电大学自动化学院,江苏南京210003

出　　处：《系统工程与电子技术》2007年第2期273-276,共4页Systems Engineering and Electronics

基　　金：南京邮电大学博士科研启动基金资助课题(NY205052)

摘　　要：针对时滞混沌系统的同步问题,利用脉冲控制方法,提出了新的渐进同步的充分条件。利用脉冲状态反馈控制,在系统矩阵为Hurwitz矩阵和正定矩阵两种情况下,得到了时滞混沌系统同步的充分条件;进一步,为便于工程应用,利用脉冲输出反馈,在系统矩阵为上述两种情况下,得到了时滞混沌系统同步的充分条件。该同步条件使时滞混沌同步系统快速地达到10-2误差。最后,以一个多重时滞混沌系统为例,进行了数值仿真,验证了该方法的有效性。To investigate synchronization for time-delayed chaotic system, some novel sufficient conditions of asymptotical synchronization are proposed by virtue of impulsive control. Using impulsive state feedback control, some sufficient conditions of time-delayed chaotic systems are obtained when system matrix is Hurwitz or positive definite. Furthermore, to be convenient for engineering application, us;ng impulsive output feedback, some sufficient conditions are derived when system matrix is above-mentioned. The synchronization errors of time-delayed chaotic synchronization system reach quantitatively 10^-2 with the proposed conditions. Finally, to demonstrate the validity of the proposed methods, numerical simulation is carried out via taking multiple timedelayed chaotic system as an example.

关 键 词：时滞系统 混沌同步 脉冲控制 混沌系统 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]