Control of unstable steady states by time-delayed feedback methods -: art. no. 046203

被引:147
作者
Hövel, P [1 ]
Schöll, E [1 ]
机构
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
来源
PHYSICAL REVIEW E | 2005年 / 72卷 / 04期
关键词
D O I
10.1103/PhysRevE.72.046203
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We show that time-delayed feedback methods, which have successfully been used to control unstable periodic orbits, provide a tool to stabilize unstable steady states. We present an analytical investigation of the feedback scheme using the Lambert function and discuss effects of both a low-pass filter included in the control loop and nonzero latency times associated with the generation and injection of the feedback signal.
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页数:7
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