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On the Zeros of Quasi-Polynomials with Single Delay (2003.02292v1)

Published 4 Mar 2020 in eess.SY, cs.SY, and math.OC

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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