Finding the Dominant Roots of a Time Delay System without Using the Principal Branch of the Lambert W Function

Rudy Cepeda-Gomez

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arXiv · 1708.03606

Finding the Dominant Roots of a Time Delay System without Using the Principal Branch of the Lambert W Function

Rudy Cepeda-Gomez

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Abstract

This brief note complements some results regarding a recently developed technique for the stability analysis of linear time-invariant, time delay systems using the matrix Lambert W function. By means of a numeric example, it is shown that there are cases for which the dominant roots of the system can be found without using the principal branch of this multi-valued function, contradicting the main proposition of the methodology.

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Rudy Cepeda-Gomez. 2017-08-11. Finding the Dominant Roots of a Time Delay System without Using the Principal Branch of the Lambert W Function. https://arxiv.org/abs/1708.03606

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