New Estimations of Globally Exponentially Attractive Sets and Synchronization Controlling of a Class of Chaotic Finance Systems

In the paper, we firstly give a new accurate spheroid estimation formula of the globally exponentially attractive set for all positive parameters by constructing a generalized positive definite Lyapunov functions with radially unbound. Secondly, based on inequalities techniques, linear feedback control with one input or two inputs is proposed to realize the globally exponential synchronization of two chaotic finance systems. The controllers here designed have simple structure. The numerical simulation results are in line with the theoretical analysis.