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摘要 本文叙述了脉冲控制混沌系统稳定的基本原理，并将原理应用于推导陈氏混沌系统在时间间隔不等的脉冲控制下的渐进稳定的条件。本文还给出了脉冲控制的最大时间间隔，还进行两个数值实验模拟, 一个是强脉冲控制，另一个是弱脉冲控制。 本文还叙述了陈氏混沌系统脉冲控制同步的原理。文章首先证明脉冲控制同步的模型是一个脉冲控制稳定的模型，然后给出保证脉冲控制陈氏混沌系统同步的原理。为说明本文的原理，文章给出两个实验例子。 脉冲控制陈氏系统同步的一个应用是混沌保密通信。本文提出一个全新的混沌保密通信的加密和解密方案。非线性函数应用于信号的处理。包含陈氏混沌系统的三个状态变量的非线性函数增加了方案的安全性，并给出两种不同信号的加密仿真实验结果。因为脉冲控制的时间间隔不是常数，使攻击者十分难以跟踪并预测陈氏系统的同步和传送的信号，其次攻击者不知道脉冲控制的时间间隔长度。 关键词： 陈氏系统；脉冲控制；脉冲间隔可变；脉冲控制的稳定和同步；混沌保密通信 Abstract In this thesis, several theorems in the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the Chen’s systems can be asymptotically stable under impulsive control with varying intervals. We also give the upper bound of the impulsive intervals. And two numeral experiments are given, one is strong and the other weak control. Then, we present a theory of impulsive synchronization of two Chen’s systems. We first show that the impulsive synchronization model is an impulsive control model. A theory is given to guaranteeing the asymptotical stability of the impulsive synchronization. To illustrate, we give two experimental examples. A promising application of impulsive synchronization of Chen’s systems is to secure communication schemes is presented. Some nonlinear function is used to process the original signal. A nonlinear function involving all three chaotic states is used, then enhance the security. Simulation results based on Chen’s system are provided. Since the lengths of impulsive intervals are not constant in our systems, it is difficult to perform the inverse prediction and indemnify the synchronization Impulsive and the scrambled signal if the length of impulsive intervals is unknown. Key words: Chen’s systems; Impulsive control; time-varying intervals; stabilization and synchronization; Secure communication 本论文由英语论文网提供整理，提供论文代写，英语论文代写，代写论文，代写英语论文，代写留学生论文，代写英文论文，留学生论文代写相关核心关键词搜索。