两个系统的自适应线性广义同步化

Linear Generalized Synchronization of Two Systems with Adaptive Control

研究了混沌系统的线性广义同步化问题.提出了一种新的方法———自适应控制方法,以此构造一个响应系统,使该系统与给定的混沌驱动系统满足线性广义同步化的关系.由于新方法基于自适应,因此在构造过程中不需要确定反馈参数,根据反馈项的自身调整即可得到所需结果,故这种方法相当简便.利用Lyapunov函数和Barbalat法则,理论推导证明了该方法的正确性;同时,以Lorenz系统和Rossler系统为例进行了数值仿真,其结果进一步证实了该方法的正确性.

This paper focuses on the research of the problem of linear generalized synchronization of chaotic systems, and develops a new method adaptive control for constructing a response system to implement linear generalized synchronization with the drive system. The constructing process is simple since the method is adaptive. Based on Lyapunov function and Barbalat lemma, this paper gives the sufficient theory to prove the utility of this method. The result of simulations is in agreement with the theory.