Symmetry and symmetry-breaking for a wave equation with feedback
Symmetry and symmetry-breaking for a wave equation with feedback
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DOI：
10.1137/060666044
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发表时间：
2007-01-01
影响因子：
2.1
通讯作者：
Banaszuk, Andrzej
中科院分区：
文献类型：
--
作者：
Mehta, Prashant G.;Hagen, Gregory;Banaszuk, Andrzej
本文讨论了在航空航天和工业应用中，对某些反馈互连中振荡的起始和抑制进行分析的模型无关方法。互连中的一个子系统是已知的，这里假设它是圆上的波动方程。另一个子系统的动态模型是不确定的，该方法只假设它的结构，即它的对称性。我们发现，只有结构（斜对称）的反馈可以用来解释的不稳定性，和操纵的结构（失谐）可以用来抑制不稳定性。
This paper is concerned with model- independent approaches for the analysis of inception and suppression of oscillations in certain feedback interconnections arising in aerospace and industrial applications. One of the subsystems in the interconnection is known and assumed here to be the wave equation on the circle. The dynamic model of the other subsystem is uncertain, and the approach assumes only its structure, namely its symmetry properties. We show that only the structure ( skew-symmetry) of the feedback can be used to explain the instability, and manipulation of the structure ( mistuning) can be used to suppress the instability.