利用小控制律使非游荡点成为稳定周期点

MAKE A NON-WANDERING POINT PERIODIC AND STABLE BY SMALL CONTROL LAW

讨论了混沌控制理论中的一个重要问题 ,即利用小控制律使得混沌系统产生新的稳定周期解的可能性 ,该周期解不一定是未控制系统的不稳定周期解 .同流行的看法相悖 ,证明了小控制律可以使系统的非游荡点 (该点不一定是周期点 )成为局部渐进稳定的周期解 .

In this paper an important problem in chaos control theory, that is, the possibility of generating a new stable periodic solution by small control law for a dynamical system is discussed. It is proved that a solution with an initial point being non-wandering can become asymptotically stable by small control law. This shows that the popular opinion that small control law is not able to create a new periodic point is untrue.