基于改进脉冲控制方法的超混沌系统同步  

Synchronization of hyperchaotic systems via improved impulsive control method

作　　者：马铁东[1] 江伟波[1] 浮洁[2] 薛方正[1] 

机构地区：[1]重庆大学自动化学院,重庆400044 [2]重庆大学光电工程学院,光电技术及系统教育部重点实验室,重庆400044

出　　处：《物理学报》2012年第10期69-75,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61104080);重庆市自然科学基金(批准号:CSTC;2010BB2238);教育部博士点基金(批准号:20100191120025);中国博士后科学基金(批准号:20100470813;20100480043)资助的课题~~

摘　　要：针对一类整数阶与分数阶超混沌系统的同步问题,分别提出了改进的脉冲同步方法.基于Lyapunov稳定性理论与脉冲微分方程理论,给出超混沌系统一组新的全局渐近同步判据.特别地,当脉冲间距与脉冲控制增益为常数时,可获得更为简单和实用的同步判据.与现有结果相比,所得充分条件更次保守且更为实用.通过对超混沌Chen系统同步的数值仿真研究,验证了所提方法的有效性和可行性.The improved impulsive control method is proposed to realize the complete synchronization of integral and fractional order hyperchaotic systems. Some effective sufficient conditions are produced to realize the asymptotical stability of synchronization error system. In particular, some simple and practical conditions are derived in synchronizing the chaotic systems by choosing constant impulsive distances and control gains. Compared with the existing results, the main results are less conservative by relaxing some unnecessary inequality constraints. Simulation results show the effectiveness and the feasibility of the proposed impulsive controller.

关 键 词：超混沌系统 同步 脉冲控制 分数阶混沌系统 

分 类 号：O415.5[理学—理论物理]