On the basis of a Lure-type system, a systematic procedure of state feedback control was developed to analyze the synchronization of two chaotic systems. To ensure a stable synchronized result, the conditions of stability are investigated. Moreover, with the aid of a deterministic observer, the unmeasured states are reconstructed and the time of synchronization can be arbitrarily designed with a guaranteed stability. Meanwhile, if the system's output is corrupted by the measurement noise, then a stochastic observer (extended Kalman filter) is proposed to reject the noise.
