混沌系统的间歇控制及其在保密通信中的应用

摘要

Secure communication schemes based on continuous control method are very easy to be traced or copied. It greatly limits the applications of chaos in secure communication. This paper investigated the synchronization of chaotic systems and its applications in secure communication using the discontinuous control method, i. e. , periodically intermittent control. It proved that two coupled chaotic systems could reach synchronization under suitable control conditions, and gave a group of sufficient conditions used to set the control period and control width. The numerical simulation results validate the feasibility of the theo-retical results. The proposed method can be used in secure communication to improve the performance of security.%基于连续控制方法的混沌保密通信方案很容易被跟踪或者复制,大大限制了混沌在保密通信中的应用.采用不连续的周期间歇控制方法研究了混沌系统的同步和在保密通信中的应用问题；证明了在适当的控制条件下两个耦合的混沌系统达到精确同步,并给出一组设置控制周期和控制宽度的充分条件,数值模拟验证了理论结果的有效性.该不连续的控制方法可应用到混沌保密通信中,增加通信的保密性能.