Some remarks on the asymptotic behavior for quasipolynomials with two delays

A. Martínez-González; C. F. Méndez-Barrios; S. I. Niculescu; J. Chen

doi:10.1016/j.ifacol.2018.07.243

Some remarks on the asymptotic behavior for quasipolynomials with two delays

A. Martínez-González, C. F. Méndez-Barrios, S. I. Niculescu, J. Chen

Department of Electrical Engineering

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

4 Downloads (CityUHK Scholars)

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. A numerical example illustrates the proposed results.

Original language	English
Title of host publication	14th IFAC Workshop on Time Delay Systems TDS 2018
Editors	Tamas Insperger
Publisher	Elsevier Ltd.
Pages	318-323
DOIs	https://doi.org/10.1016/j.ifacol.2018.07.243
Publication status	Published - 2018
Event	14th IFAC Workshop On Time Delay Systems (TDS 2018) - Budapest, Hungary Duration: 28 Jun 2018 → 30 Jun 2018 http://www.congressline.hu/tds2018/ http://www.congressline.hu/tds2018/pdf/TDS2018_programbook.pdf

Publication series

Name	IFAC-PapersOnLine
Number	4
Volume	51
ISSN (Print)	2405-8963

Workshop

Workshop	14th IFAC Workshop On Time Delay Systems (TDS 2018)
Place	Hungary
City	Budapest
Period	28/06/18 → 30/06/18
Internet address	http://www.congressline.hu/tds2018/ http://www.congressline.hu/tds2018/pdf/TDS2018_programbook.pdf

Research Keywords

Newton Diagram
Quasi-polynomial
Retarded systems
Weierstrass Polynomial

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10.1016/j.ifacol.2018.07.243

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title = "Some remarks on the asymptotic behavior for quasipolynomials with two delays",

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. A numerical example illustrates the proposed results.",

keywords = "Newton Diagram, Quasi-polynomial, Retarded systems, Weierstrass Polynomial",

author = "A. Mart{\'i}nez-Gonz{\'a}lez and M{\'e}ndez-Barrios, {C. F.} and Niculescu, {S. I.} and J. Chen",

year = "2018",

doi = "10.1016/j.ifacol.2018.07.243",

language = "English",

series = "IFAC-PapersOnLine",

publisher = "Elsevier Ltd.",

number = "4",

pages = "318--323",

editor = "Tamas Insperger",

booktitle = "14th IFAC Workshop on Time Delay Systems TDS 2018",

address = "United Kingdom",

note = "14th IFAC Workshop On Time Delay Systems (TDS 2018) ; Conference date: 28-06-2018 Through 30-06-2018",

url = "http://www.congressline.hu/tds2018/, http://www.congressline.hu/tds2018/pdf/TDS2018_programbook.pdf",

}

Martínez-González, A, Méndez-Barrios, CF, Niculescu, SI & Chen, J 2018, Some remarks on the asymptotic behavior for quasipolynomials with two delays. in T Insperger (ed.), 14th IFAC Workshop on Time Delay Systems TDS 2018. IFAC-PapersOnLine, no. 4, vol. 51, Elsevier Ltd., pp. 318-323, 14th IFAC Workshop On Time Delay Systems (TDS 2018), Budapest, Hungary, 28/06/18. https://doi.org/10.1016/j.ifacol.2018.07.243

Some remarks on the asymptotic behavior for quasipolynomials with two delays. / Martínez-González, A.; Méndez-Barrios, C. F.; Niculescu, S. I. et al.
14th IFAC Workshop on Time Delay Systems TDS 2018. ed. / Tamas Insperger. Elsevier Ltd., 2018. p. 318-323 (IFAC-PapersOnLine; Vol. 51, No. 4).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Some remarks on the asymptotic behavior for quasipolynomials with two delays

AU - Martínez-González, A.

AU - Méndez-Barrios, C. F.

AU - Niculescu, S. I.

AU - Chen, J.

PY - 2018

Y1 - 2018

N2 - 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. A numerical example illustrates the proposed results.

AB - 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. A numerical example illustrates the proposed results.

KW - Newton Diagram

KW - Quasi-polynomial

KW - Retarded systems

KW - Weierstrass Polynomial

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DO - 10.1016/j.ifacol.2018.07.243

M3 - RGC 32 - Refereed conference paper (with host publication)

T3 - IFAC-PapersOnLine

SP - 318

EP - 323

BT - 14th IFAC Workshop on Time Delay Systems TDS 2018

A2 - Insperger, Tamas

PB - Elsevier Ltd.

T2 - 14th IFAC Workshop On Time Delay Systems (TDS 2018)

Y2 - 28 June 2018 through 30 June 2018

ER -

Some remarks on the asymptotic behavior for quasipolynomials with two delays

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