参数未知的统一超混沌系统自适应反同步

摘要

In this paper,We investigate the adaptive anti-synchronization in a unified hyperchaotic system with unknown parameters.First,according to the Lyapunov stability theory,We achieve an adaptive controller and show that the controller can make a unified hyperchaotic system with unknown parameters asymptotically stable at a fixed point.Second,by the adaptive anti-synchronization method,We design an adaptive anti-synchronous controller and thereby achieve the hyperchaotic system synchronization.Finally,numerical simulations show the effectiveness of the scheme.%文章研究了参数未知的统一超混沌系统的控制与同步问题.首先基于Lyapunov稳定性理论,设计了自适应控制器,证明了该控制器可使参数未知统一超混沌系统渐近稳定于不动点.其次使用自适应反同步方法,设计了自适应同步控制器,实现了参数未知统一超混沌系统的完全同步,最后数值仿真实验进一步验证了所提出方案的有效性.