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

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.