Observer based projective synchronization method for a class of chaotic system —Part I: Linear synchronization subsystem

In this three-part paper, observer based projective synchronization method for a class of chaotic system is proposed. At the transmitter, a general observer is used to create the scalar signal for synchronizing; depending on whether the synchronization subsystem is linear or nonlinear, synchronization condition is theoretically analyzed. In part I, the structure of the projective synchronization method is presented, also the condition of projection synchronization is theoretically analyzed when the synchronization subsystem is linear; in Part II, the condition of projection synchronization is theoretically analyzed for nonlinear synchronization subsystem; in Part III, applications of the observer based projective synchronization method are introduced.