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Zero dynamics for a class of robustly stable polynomials

  • Noé Martínez
    ,
  • Alejandro Arceo
    ,
  • Andrea Rodríguez-Hernández
    ,
  • Luis E. Garza(corresponding author)
    ,
  • Gerardo Romero
*Corresponding author for this work
  • Universidad Autónoma de Tamaulipas
    ,
  • Universidad de Colima
Research Output:
Contribution to journal
Article
Peer-review

Publication metrics

Metrics

SciVal
FWCI
0.37
SciVal
Author count
5
SciVal
Paper percentile
44
SciVal
Citations
3
Scopus
Citations

Abstract

In this contribution we introduce two different methods to construct robustly stable Schur polynomials that depend on an uncertain parameter, by using basic properties of orthogonal polynomials on the unit circle. We also develop a procedure to describe the behavior of the zeros of a class of uncertain polynomials with respect to the uncertain parameters. Some illustrative examples are presented.

Publication Information

Output type

Research Output:
Contribution to journal
Article
Peer-review

Original language

English

Article number

114972

Journal (Volume, Issue Number)

Journal of Computational and Applied Mathematics (Volume 423)

Publication milestones

  • Published - 15/05/2023

Publication status

Published - 15/05/2023

ISSN

0377-0427

Publication IDs

  • Scopus: 85143703711

Funding Details

The work of the fourth author is supported by México’s CONACYT under grant 287523 , and by Dirección General de Investigación e Inovación, Consejería de Educación e Investigación de la Comunidad de Madrid (Spain) , and Universidad de Alcalá, Mexico under grant CM/JIN/2021-014 . Línea de actuación estímulo a la investigación, Proyectos de I+D para jóvenes investigadores de la Universidad de Alcalá 2021. The work of the fifth author was partially supported by Universidad Autónoma de Tamaulipas, Mexico , under grant PEI-PROINNOVA-2018-250117 .
FundersFunding numbers
Dirección General de Investigación e Inovación, Consejería de Educación e Investigación de la Comunidad de Madrid
-
CONACYT
287523
CONACYT
-
UAH
CM/JIN/2021-014
UAH
-
UAT
PEI-PROINNOVA-2018-250117
UAT
-