In this article we consider certain linear time-varying control systems and investigate their stability using structured singular values ($\mu$-values). We use the low rank ordinary differential equations based methodology to compute the lower bounds for $\mu$-values. The inner-outer algorithm computes the local extremizer of an admissible perturbation and adjusts the desired perturbation level. Further, we present a comparison of our results via the well-known MATLAB routine mussv which is available in MATLAB control toolbox.

中文翻译：

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计算LTI系统的$ \ mu $值

在本文中，我们考虑某些线性时变控制系统，并使用结构化奇异值（$ \ mu $ -values）研究其稳定性。我们使用基于低阶常微分方程的方法来计算$ \ mu $值的下界。内外算法计算可允许扰动的局部极值并调整所需的扰动级别。此外，我们通过MATLAB控制工具箱中提供的著名MATLAB例程mussv对结果进行了比较。