混沌系统控制中正定矩阵的一种简单应用

摘要

Based on the Lyapunov stability theory,this paper designs the synchronization proposal of autonomous chaotic systems,realizing the synchronization of the same structures in chaotic system.At the same time,theoretically,it proves that the designed controller can make the controlled inaccuracy system gradually steady to zero point of synchronization inaccuracy system,proving the feasibility of the proposal.Fast synchronization and Numerical simulations are given to illustrate the effectiveness of the proposal.%基于稳定性理论,设计了超混沌Lorenze系统的同步方案,实现超混沌系统同结构同步。并理论证明所设计控制器能够使受控误差系统全局渐进稳定到同步误差系统的零点,表明该方案的可行性。数值仿真,所设计方案可以快速实现混沌同步,所设计方案具有有效性。