一种参数摄动的混沌异结构同步方法

研究了参数摄动情形下的混沌异结构同步问题，基于Lyapunov稳定性定理并结合范数理论给出了系统参数摄动下实现混沌异结构同步的一个充分条件，为同步控制器的设计提供了一般方法.只要两混沌系统维数相等，状态变量可测，就可利用所提方法实现系统参数摄动下的异结构同步，并能够保证在同步实现后同步控制量伴随误差变量一同收敛至零.该方法鲁棒性强，适用范围广，通过对混沌系统、超混沌系统的同步仿真，证实了该方法的有效性. 关键词： 混沌 超混沌 同步 Lyapunov函数

A new approach to synchronization between two different chaotic systems with parametric perturbation

The problem of chaotic synchronization between two different chaotic systems with parametric perturbation is studied. Based on Lyapunov stability law and norm theory，a sufficient condition to synchronize two different chaotic systems with parametric perturbation is given and a general way of choosing the controller is proposed. This method can realize the synchronization of two chaotic systems with parametric perturbation if the dimensions of the chaotic systems are equal and the state variables are measurable. And it is required that the control must decay to zero together with the errors as soon as the synchronization is reached. The proposed method is robust and can be used widely. Numerical simulations of synchronization between two chaotic systems，and synchronization between two hyperchaotic systems are provided to show the effectiveness and feasibility of the method.