利用非线性函数控制的混沌异结构同步

Synchronization Between Two Different Chaotic Systems Using Nonlinear Control Function

研究了利用非线性函数控制的混沌异结构同步问题.基于Lyapunov稳定性理论,设计了非线性控制函数,使得同步误差系统的Lyapunov函数的形式为V(e)=eTPe(P为正定矩阵),根据数学公式推导,理论证明了该方法可以实现不同混沌系统之间的异结构同步.数值模拟进一步验证了所提出方案的有效性.

Chaos synchronization between two different chaotic systems via nonlinear control function is studied in this paper. Based on the luapunov stability theory, the nonlinear control function is designed to synchronize two different chaotic systems, which makes the lyapunov function of the synchronization error system be V（e） = e^TPe（the matrix P is a positive definite matrix）. Chaos synchronization of two different chaotic systems have been proved theoretically by deducing mathematically. Numerical simulations show the effectiveness of the proposed method.