New Results of Globally Exponentially Attractive Set and Synchronization Controlling of the Qi Chaotic System

This paper treats the globally exponentially attractive set and synchronization problem of the Qi chaotic system Firstly, based on the generalized Lyapunov function theory, a new ellipsoid estimation of the globally exponentially attractive set and positive invariant set of the Qi chaotic system was given without existence assumptions Secondly, based on some inequalities techniques and matrix theory, nonlinear feedback control with two inputs was used to realize the globally exponentially synchronization of two chaotic systems Some sufficient algebraic criteria for the globally exponential synchronization of two chaotic systems are obtained analytically Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

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