This paper studies the synchronization problem of a class of chaotic systems. The mentioned synchronization scheme consists of identical master and slave chaotic systems. By analyzing structural characteristics of nonlinear vector field of the error system, a new approach is presented to synchronize the two chaotic systems. Based on linear error state feedback, an independent stable equation of some error state variables is separated. Synchronization conditions is derived which make globally synchronization between the master system and the slave system rapidly. The approach can be used to achieve synchronization of the Genesio chaotic system and Liu chaotic system. A class of simple linear feedback controller is designed and precise corresponding synchronization conditions is obtained. Numerical examples illustrate the validity of the presented approach in this paper.
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