超吕混沌系统的脉冲控制与同步

Impulsive Control and Synchronization of the Hyperchaotic Lii System

讨论了最近提出的超吕混沌系统的脉冲控制与同步问题,得到将系统通过线性脉冲控制到不稳定平衡点的充分性条件。另外,与前人工作不同的是考虑驱动与响应系统之间没有耦合情况下同时加脉冲控制同步,得到了同步的充分性条件, 发现两个系统都加脉冲控制反而不一定比只在响应系统上加脉冲控制的同步来得容易,理论与仿真结果都验证这一结论。

In this paper, impulsive control and synchronization of the Hyperchaotic Lü System are discussed. The sufficient conditions of controlling the system to its unstable equilibrium origin are obtained. And this paper discussed the influences of different impulsive inputs on the dynamics of impulsive system. Compared with others, this paper controls the drive system and the response system by impulsive inputs at the same time. The sufficient conditions on synchronization of such two systems are given. It is found that it is more difficult to achieve synchronizing than only impulsive control the response system. Theoretical results and numerical simulations confirmed our conclusions.