Abstract: Based on Lyapunov stability theory and differential inequality technology, this paper gives a sufficient condition of exponential synchronization by using the linear matrix inequality technique, and designs an exponential synchronization controller. The synchronization controller is applied to secret communications through chaotic masking method. Simulation result based on Ikeda chaotic system shows that this method can accurately and rapidly recover the useful signal, and it is robustness for noise to achieve the purpose of secret communication.

Key words: chaotic system, delayed, exponential synchronization, secret communication, spectrum attack

摘要： 利用Lyapunov稳定性理论和线性矩阵不等式技术，给出一类时滞混沌系统指数同步的充分条件，设计指数同步控制器。在此基础上，采用混沌掩盖方法将该控制器应用于保密通信中。基于Ikeda混沌系统的仿真结果表明，该方法可准确、快速地恢复出有用信号，并且对噪声具有一定的鲁棒性，能够达到保密通信的目的。

关键词: 混沌系统, 时滞, 指数同步, 保密通信, 谱攻击

CLC Number: 

• TP391