控制动力系统的分岔现象

Controlling Bifurcations in Dynamical Systems

控制动力系统的分岔现象是一个比混沌控制历史要长的研究课题 .随着混沌控制的发展 ,这一课题的研究工作又重新活跃起来 .本文对分岔控制的现状和前景做了一个简单的综合介绍和评述 ,指出这一领域的重要性 ,以期引起动力系统和控制论研究人员的充分关注 .

Bifurcation control deals with modification of bifurcation characteristics of a parameterized nonlinear system by a designed control input. Typical bifurcation control objectives include delaying the onset of an inherent bifurcation, stabilizing a bifurcated solution or branch, changing the parameter value of an existing bifurcation point, modifying the shape or type of a bifurcation chain,introducing a new bifurcation at a preferable parameter value, monitoring the multiplicity, amplitude, and/or frequency of some limit cycles emerging from bifurcation, optimizing the system performance near a bifurcation point, or a combination of some of these objectives. This article offers an overview of this emerging, challenging, stimulating, and yet promising field of research,putting the main subject of bifurcation control into perspective.