Stability analysis for the synchronization of chaotic systems with different order: application to secure communications

作者：Bowong S^*

来源：Physics Letters A, 2004, 326(1-2): 102-113.

DOI：10.1016/j.physleta.2004.04.004

• chaos control
• chaos synchronization
• secure communication

In this Letter, the synchronization of different order systems or reduced-order synchronization is studied. We show that dynamical evolution of second-order oscillators can be synchronized with the canonical projection of a fourth-order chaotic system. In this sense, it is said that synchronization is achieved in reduced order. The proposed strategy is an input-output control scheme which comprises an uncertainty estimator and an exponential controller. In this way, the reduced-order synchronization is attained at any prescribed speed in spite of master/slave mismatches. Simulation results are provided to verify the operation of the designed synchronization scheme. The proposed controller is implemented to secure communication.

• 出版日期2004-5-31