控制动力系统的分岔现象

Controlling Bifurcations in Dynamical Systems

中文关键词  非线性动力系统  分岔  混沌  控制

英文关键词  nonlinear dynamic system  bifurcation  chaos  control

中文摘要

      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.

英文摘要

      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.