超混沌系统的函数投影同步与参数辨识

Function projective synchronization and parameter identification of hyper-chaotic system

研究了一参数未知超混沌系统的函数投影同步问题.基于李雅谱诺夫稳定性理论,设计了实现混沌系统函数投影同步的有效非线性控制器,可以快速实现超混沌系统的加速函数投影同步,同时设计了参数控制律,有效的辨识了系统的未知参数,数值仿真验证了理论分析和数值计算的正确性.

The function projective synchronization of a new four-dimensional hyper-chaotic system is studied. Based on the stability of Lyapunov theory, we designed an effective nonlinear controller which realize the function projective synchronization of the hyperchaotic system. At the same time, we designed parameter rules which realize the identification of unknown parameters. Theory analysis and numerical simulations show that the method is effective.