| The study on Chaotic dynamics system synchronous control has received Wide attention and development , because it has great potential application and development prospect in the confidential communications and information sciences. Especially the research of projective synchronization becomes one hotspot of the study in recent years. Many kinds of distinctive control methods has appeared. In this paper, first the basic concepts and methods of chaotic control and chaos synchronization are described, and then, the situation of projection synchronous control is summarized and introduced in recent years. Based on Lyapunov stability theory, The sufficient conditions for the synchronization both the non-identical and identical chaotic systems are presented. The synchronous controller is designed by constructing Lyapunov function, and the realization of projection synchronous control by using nonlinear feedback control is discussed. The scheme is successfully applied to groups of examples, which are the projection synchronous between Lorenz system and Rossler system, and two identical Lorenz system, and two identical Rossler system. Finally, with Rossler system, Sprott - O system, Sprott - B system, Arneodo system, Sprott - C system for network node, the tracking signal's continuous transmission in a variety of different chaotic system is realized by giving each node a tracking controller. The corresponding numerical simulations are provided to illuminate the effectiveness of the proposed synchronous control methods. |
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