参数未知的自适应耦合同步及其在保密通信中的应用

摘要

在实际应用中,系统参数会随着环境的变化而变化,因此研究参数不确定混沌系统的同步更具有实际应用价值.文章针对参数完全未知的混沌系统,基于单向耦合同步方法,实现了混沌系统的自适应同步,为证明系统同步进行了严格的数学推导,并将同步的混沌系统应用到混沌保密通信中.计算机仿真表明混沌系统能够快速达到同步,且在混沌保密通信系统的接收端,有用信号可以有效地恢复出来,从而证明文章提出的方法有效且可行.%In practice, the parameters is changable along with enviroment. In this paper, the synchronization of two unidirectionally coupled systems when the parameters of the drive system are fully uncertain or unknown and different with those of the response system is proposed based on the adaptive technique. A new theoretical model is presented in this paper. According to the Lyapunov stability theory, the rigorous proof is given for the stability of error systen. Then the approach is applied to chaos-based secure communication. Numerical simulations are included to verify the effectiveness and feasibility of the proposed theorem