论文标题
在带有两个延迟的标量线性延迟系统的杆上放置
On the pole placement of scalar linear delay systems with two delays
论文作者
论文摘要
本文涉及标量动力系统的某些光谱特性，该系统由线性延迟分化方程定义，并具有两个正延迟。更确切地说，探索了延迟与特征根的最大多重性之间的现有链接，以及与频谱定位相比，这种根的主导地位。作为分析的副产品，重新审视了极点放置问题，更着重于延迟作为控制参数在定义部分极点放置方面的作用，以确保闭环稳定性具有相应动力学系统的适当衰减速率。
This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the characteristic roots are explored, as well as the dominancy of such roots compared with the spectrum localization. As a by-product of the analysis, the pole placement issue is revisited with more emphasis on the role of the delays as control parameters in defining a partial pole placement guaranteeing the closed-loop stability with an appropriate decay rate of the corresponding dynamical system.
