Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights

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 sequ...

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Bibliographic Details
Published inMathematics (Basel) Vol. 7; no. 9; p. 818
Main Authors Arceo, Alejandro, Garza, Luis E., Romero, Gerardo
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2019
Subjects
Algebra
Approximation
Control theory
Equations of motion
Hurwitz polynomials
Jacobi-type weight
Laguerre-type weight
Mathematical analysis
Mathematics
orthogonal polynomials
Perturbation
Polynomials
robust stability
Robustness
Stability
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7090818