In this paper, the partial eigenvalue assignment problem of gyroscopic second-order systems with time delay is considered. We propose a multi-step method for solving this problem in which the undesired eigenvalues are moved to desired values and the remaining eigenvalues are required to remain unchanged. Using the matrix vectorization and Hadamard product, we transform this problem into a linear systems of lower order, and analysis the computational costs of our method. Numerical results exhibit the efficiency of our method.

中文翻译：

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时滞陀螺二阶系统的部分特征值分配

本文考虑具有时滞的陀螺二阶系统的部分特征值分配问题。我们提出了一种解决该问题的多步骤方法，其中不希望有的特征值被移动到期望值，而其余特征值则需要保持不变。使用矩阵矢量化和Hadamard乘积，我们将此问题转换为低阶线性系统，并分析了该方法的计算成本。数值结果证明了我们方法的有效性。