中文摘要：

该篇研究超混沌Lu系统的自适应控制与自适用同步问题。首先，在控制增益参数未知的情况下，设计了一个非线性控制器，提出了相应的参数的自适应律，将系统控制到平衡点；其次，讨论了该超混沌系统自同步，并提出非线性耦合同步方案，在控制增益参数已知时，设计状态控制器实现自同步，在参数未知时，设计自适应控制器实现同步。用Lyapunov稳定性理论证明结论的正确性，使用Matlab 数值模拟，结果证明该方案的有效性和可行性。

英文摘要：

This paper deals with the issue of adaptive control and adaptive synchronization of Lu hyperchaotic system First, the problem is discussed when parameters of feedback gain are unknown,the parameters update laws are designed to control the hyperchaotic system to its equilibrium. An state controller is designed to achieve synchronize with known parameters and an adaptive controller is designed to achieve synchronize with unknown parameters of the feedback gain. The design is proved to be true based on the Lyaponov stability theory. Numerical simulations are presented to verify the effectiveness and feasibility.