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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.
Based on the Lyapunov stability theorem and the norm theory, a sufficient condition for synchronization of chaotic structure under perturbation of system parameters is presented. The design of synchronous controller is provided As long as the two chaotic systems are equal in dimension and state variables are measurable, the proposed method can be used to synchronize the different structures under perturbation of the system parameters and ensure that the amount of synchronization control converges to zero with the error variables after the synchronization is achieved The method is robust and suitable for a wide range of applications. The synchronization of the chaotic system and the hyperchaotic system is validated by the proposed method.