SIAM Journal on Control and Optimization, Volume 59, Issue 2, Page 805-824, January 2021.
An approach is presented to approximate the delay margin of a class of linear time-invariant neutral-type time delay systems. The approach is based on frequency sweeping tools and factorization of the corresponding characteristic function of the system, without any assumptions on the structure of system matrices. Different from published work, it enables the approximation of the delay margin on a scalable framework by means of a suitable numerical search of roots crossing the imaginary axis, hence it allows to substantially reduce computation times through parallel processing. Effectiveness of the approach is demonstrated on various problems.

中文翻译：

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一类中立型时滞系统的延迟余量计算的可扩展方法

SIAM控制与优化杂志，第59卷，第2期，第805-824页，2021年1月
。提出了一种近似一类线性时不变中性型时滞系统的时延裕度的方法。该方法基于扫频工具和系统相应特征函数的分解，而无需对系统矩阵的结构进行任何假设。与已发表的工作不同，它可以通过对与虚轴交叉的根进行适当的数值搜索，从而在可伸缩框架上实现延迟余量的近似计算，因此可以通过并行处理显着减少计算时间。在各种问题上证明了该方法的有效性。