Robust stability of Hurwitz polynomials associated with modified classical weights

Alejandro Arceo, Luis E. Garza*, Gerardo Romero

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this contribution, we consider sequences of orthogonal polynomials associated with a perturbation of some classical weights consisting of the introduction of a parameter t, and deduce some algebraic properties related to their zeros, such as their equations of motion with respect to t. These sequences are later used to explicitly construct families of polynomials that are stable for all values of t, i.e., robust stability on these families is guaranteed. Some illustrative examples are presented.

Original languageEnglish
Article number818
JournalMathematics
Volume7
Issue number9
DOIs
Publication statusPublished - 1 Sept 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 by the authors.

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • General Mathematics
  • Engineering (miscellaneous)

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