一个新的分段线性混沌系统的反馈同步

Feedback Synchronization of New Piecewise-linear Chaotic System

针对新近提出的分段线性混沌系统,研究了线性反馈同步控制方法。根据分段系统的特点,通过Lyapunov函数分类推导了各种情况下实现同步控制的充分条件,并归纳出整体系统同步的充分条件。数值仿真的结果验证了该方法的有效性和快速性,同时揭示了反馈控制参数对系统同步的影响。该算法适用于一类分段混沌系统。

In view of a new piecewise-linear chaotic system, the synchronized control method based on linear feedback theory is studied. According to the characteristic of piecewise system, the sufficient conditions in any situation are classifiedly deduced by Lyapunov functions, and the ones of the whole system synchronization are summed up. The results of numerical simulations validate the effectiveness and quickness of this method. This paper shows the effect of feedback control parameters on the system synchronization. This algorithm is fit for synchronizing a class of piecewise chaotic systems.