Stabilization and complete synchronization of a new time-reversed system

This paper investigates the stabilization and com-plete synchronization problems of a new time-reversed system. Firstly, the time-reversed system is transferred into a new system whose equilibrium point is origin by making a coordinate transformation, and two single input controllers are designed to stabilize such system. Secondly, a dynamic feedback single input controller is proposed and applied to realize the complete synchronization between two time-reversed system with different initial conditions. Finally, some numerical examples are provided to verify the effectiveness and the validity of the proposed results.