Abstract:

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.

Key words:  Yang-Chen system; global exponentially attractive set;generalized Lypunov function