基于自适应控制的混沌系统的线性广义同步化

Linear Generalized Synchronization of Chaotic Systems with Adaptive Control

主要研究了混沌系统的线性广义同步化问题。给定一个驱动系统,采用自适应控制方法,构造出响应系统,使之与驱动系统达到线性广义同步化。基于Lyapunov稳定性定理和Barbalat定理,严格证明了该构造方法的正确性。以Chua’s电路为例进行了数值仿真,其结果与理论推导相一致。同时,仿真表明,这种线性广义同步化的构造方法在保密通信中也有很好的应用。

A new method--adaptive control for constructing a response system was developed to implement linear generalized synchronization （GS） with the drive system. The method was proved to be effective based on the Lyapunov stability theory and Barbalat lemma. The Chua＇s circuit was taken for illustration and verification. Furthermore, the results of the numerical simulation indicate that the method driven here can be applied well to the secure communication.