频谱值的并结及其对时滞系统稳定性的影响——在振动主动控制中的应用

Islam Boussaada , Silviu-Iulian Niculescu , Sami Tliba , Tomáš Vyhlídal
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引用次数: 22

摘要

对于线性时滞微分方程,确定保证解的指数稳定性的方程参数的条件一直是人们感兴趣的问题。最近的研究结果表明,稳定流形与具有多个特征光谱值的品种之间存在意想不到的联系,这些特征光谱值允许最右根分配。本文提出了这种思想,并将其应用于主动振动的控制中。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Coalescence of Spectral Values and its Effect on the Stability of Time-delay Systems: Application to Active Vibration Control

For linear delay-differential equations, a question of ongoing interest is to determine conditions on the equation parameters that guarantee exponential stability of solutions. Recent results have shown an unexpected link between the stable manifold and the variety characterizing multiple characteristic spectral values allowing to the right-most root assignment. In this paper, such an idea is presented and exploited in the control of active vibrations.

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