Yang-Chen系统的全局指数吸引集及其在混沌控制中的应用  

Globally exponentially attractive set of Yang-Chen system and its applications to chaos control

作　　者：鞠培军[1] 彭岩[2] 张卫[1] 田力[1] 刘国彩[1] 孔宪明[1] 

机构地区：[1]泰山学院数学与系统科学学院,山东泰安271021 [2]泰山职业技术学院基础部数学组,山东泰安271000

出　　处：《山东大学学报（理学版）》2012年第7期85-90,共6页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(ZR2011AQ022);山东省高校科研发展计划项目(J10LA51;J11LA51)

摘　　要：通过线性变换和构造广义Lyapunov函数,得出全局指数吸引集估计的新方法,并给出了最终界的精确估计式。将结果应用到Yang-Chen系统的混沌控制问题,给出了一种使系统指数稳定的具有更少保守性的反馈控制律。By constructing a linear transformation and a family of generalized Lyapunov functions, a new method was proposed to obtain globally exponentially attractive sets of Yang-Chen system. And the explicit estimations of the ultimate bounds were derived. In conclusion, this result was applied to the global exponential stability for the chaos control of the Yang-Chen system, and the control was presented by using a less conservative feedback control law.

关 键 词：Yang—Chen系统 全局指数吸引集 广义Lyapunov函数 

分 类 号：O415.5[理学—理论物理]