摘要
利用经典反馈法实现了Lü系统的混沌控制,并基于Lyapunov直接法和Routh-Hurwitz判据讨论受控Lü系统的混沌轨道达到渐进稳定时的条件,并给出理论上的证明。数值模拟进一步验证了经典反馈控制方法均可成功将Lü系统混沌运动轨道镇定到不稳定平衡点或不稳定周期轨道,即极限环上。
This paper discusses classical feedback method is used to control chaos in Lü dynamical system. Based on the Lyapunov direct method and Routh-Hurwitz criteria, the conditions of the asymptotic stability of the steady states of the controlled Lü system are discussed, and they are also proved theoretically. Numerical simulations show that the method can suppress chaos to unstable equilibrium points or unstable periodic orbits （limit cycles） successfully.
出处
《计算机与现代化》
2008年第1期11-14,共4页
Computer and Modernization
关键词
Lü系统
反馈法
混沌控制
不稳定平衡点
极限环
Lü chaotic dynamical system
feedback method, chaos control
unstable equilibrium point
limit cycles
