Bifurcation control: Theories, methods, and applications

被引:296
作者
Chen, GR
Moiola, JL
Wang, HO
机构
[1] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA
[2] Univ Nacl Sur, Dept Ingn Elect, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[3] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 03期
关键词
D O I
10.1142/S0218127400000360
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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.
引用
收藏
页码:511 / 548
页数:38
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