On the Zeros of Quasi-Polynomials with Single Delay

Suat Gumussoy

doi:10.1109/acc.2008.4587334

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arXiv · 2003.02292

On the Zeros of Quasi-Polynomials with Single Delay

Suat Gumussoy

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Abstract

A new numerical method is introduced for calculation of quasi-polynomial zeros with constant single delay. The trajectories of zeros are obtained depending on time-delay from zero to final time-delay value. The method determines all the zeros of the quasi-polynomial in any right half-plane. The approach is used to determine stability analysis of time-delay systems. The method is easy to implement, robust and applicable to quasi-polynomials with high order. The effectiveness of the method is shown on an example.

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BibTeX RIS

Suat Gumussoy. 2020-03-04. On the Zeros of Quasi-Polynomials with Single Delay. https://doi.org/10.1109/acc.2008.4587334

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