This paper deals with a new approach to develop an envelope that engulfs all poles of a time-delay system. Through linear matrix inequalities, we are able to determine envelopes for retarded and neutral time-delay systems. The envelopes proposed are not only tighter than the ones in the literature, but, with our procedure, they can also be applied to verify the stability of the system and design state-feedback controllers, which cope with design requirements regarding α-stability.

中文翻译：

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延迟和中性时滞系统的稳定性和包络稳定性


本文讨论了一种开发包络线的新方法，该包络线可吞没时滞系统的所有极点。通过线性矩阵不等式，我们能够确定延迟和中性时滞系统的包络线。所提出的包络线不仅比文献中的包络线更紧，而且通过我们的程序，它们还可以用于验证系统的稳定性和设计状态反馈控制器，从而满足有关 α 稳定性的设计要求。