广义Lorenz系统的全局指数吸引集及其应用

Globally Exponentially Attractive Sets of Generalized Lorenz System and their Application

对于一种广义Lorenz系统,通过线性变换和构造广义Lyapunov函数,给出了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.最后,将结果应用到Chen系统和Lü系统的混沌控制中,给出了保持系统指数稳定的一种线性反馈控制,并且反馈控制律具有更少的保守性.

In this paper, the global exponential attractive sets is studied for generalized Lorenz sytem. Algebraic criteria are given for the explicit estimations of global exponentim attractive sets by constructing suitable Lyapunov function. In conclusion, the result is applied to the global exponential stability fo the chaos control of the Chert system and Li system, and the control are presented by using a less conservative feedback control law.