Abstract

The eigenvalue assignment problem of second-order singular system is investigated by using acceleration–velocity–displacement feedback. The conditions are established to ensure the solvability of partial eigenvalue assignment problem of second-order singular system. The derived results are extended to complete eigenvalue assignment problem of second-order singular system. The presented solvability conditions are easily tested. Then, the methods are given to solve the eigenvalue assignment problem of second-order singular systems. Finally, several examples are given to validate our results and algorithms.

中文翻译：

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通过加速度-速度-位移反馈对二阶奇异系统进行特征值赋值

摘要

利用加速度-速度-位移反馈研究二阶奇异系统的特征值分配问题。建立了保证二阶奇异系统部分特征值分配问题可解的条件。将推导结果推广到完成二阶奇异系统的特征值分配问题。所提出的可解性条件很容易测试。然后给出了解决二阶奇异系统特征值分配问题的方法。最后，给出了几个例子来验证我们的结果和算法。