Some Remarks on the Asymptotic Behavior for Quasipolynomials with Two Delays

A. Martínez-González 1, 2 C.F. Méndez-Barrios 1 S.I. Niculescu 2 J. Chen 3
1 UASLP - Facultad de Ingeniería
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
3 CUHK - City University of Hong Kong [Hong Kong]
Abstract : This paper proposes an analytical method to characterize the behavior of critical multiple roots for quasi-polynomials with two delays. The proposed approach is based on the Weierstrass polynomial, that is employed as a tool to analyze the stability behavior of such characteristic roots with respect to small variations on the delay parameters. The proposed results are illustrated by considering a numerical example.
Keywords : Quasi-polynomial Retarded systems Newton Diagram Weierstrass Polynomial
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A. Martínez-González, C.F. Méndez-Barrios, S.I. Niculescu, J. Chen. Some Remarks on the Asymptotic Behavior for Quasipolynomials with Two Delays. TDS 2018 - 14th IFAC Workshop on Time Delay Systems, Jun 2018, Budapest, Hungary. pp.318-323, ⟨10.1016/j.ifacol.2018.07.243⟩. ⟨hal-01950608⟩

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