Linear feedback control and synchronization for a new time-delay chaotic system

Base on Lyapunov stability theory of time-delay systems, the chaos control and synchronization problems of time-delay chaotic system are discussed in this paper. A linear controller to realize chaos control is designed and the synchronization problem of a new time-delay chaotic systems is discussed by combining of a new theorem and the characters of the chaotic system. Finally, numerical examples with simulation are provided to illustrate the correctness and effectiveness of the theoretical results.