Some remarks on the regular splitting of quasi-polynomials with two delays. Characterization of double roots in degenerate cases - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2020

Some remarks on the regular splitting of quasi-polynomials with two delays. Characterization of double roots in degenerate cases

Abstract

This paper addresses the classification of multiple critical roots of dynamical continuous linear time-invariant systems including two constant delays in their mathematical representation. By considering the associated Weierstrass polynomial and its algebraic properties, we investigate the splitting behavior of such critical roots when the delays are subject to small variations. Some degenerate cases are also considered. The effectiveness of the proposed approach is illustrated through several numerical examples.

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hal-03108290 , version 1 (24-04-2023)

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Attribution - NonCommercial

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Alejandro Martínez-González, César Fernando Méndez Barrios, Silviu-Iulian Niculescu. Some remarks on the regular splitting of quasi-polynomials with two delays. Characterization of double roots in degenerate cases. IFAC 2020 - 21st IFAC World Congress, session invitée organisée par Islam BOUSSAADA, Rifat SIPAHI, Jul 2020, Berlin / Virtual, Germany. ⟨10.1016/j.ifacol.2020.12.363⟩. ⟨hal-03108290⟩
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